Research Manual 1 HOW TO WRITE A RESEARCH PAPER I. Definition and Classification of Research Research is a formal, systematic, data-based, critical scientific inquiry and/or investigation into a specific problem, undertaken with the objective of finding answers or solutions to the specified problem, produce findings that are valid to the group under study, or inferences from these findings that will benefit other groups. Research can also be defined as a systematic and scientific way of investigating a problem with the view of understanding it and finding solutions to it. F. Mugo (2000) defines it as ―a careful or diligent search, studious inquiry or examination especially investigation or experimentation aimed at the discovery and interpretation of facts, revision of accepted theories or laws in the light of new facts or practical application of such new or revised theories or laws, it can also be the collection of information about a particular subject.‖ Types of Research 1. Basic Research This is intended to add to a body of scientific knowledge. It aims to increase one‘s knowledge of basic principles, advance methodology and scientific inquiry, and identify theories for testing in the workplace. Examples: Newton‘s Law, Boyle‘s Law, Archimedes‘ Law 2. Applied Research This is the application of scientific knowledge to the solution of a problem. There is a development of new system or procedure, new device, or new method in order to solve the problem. In this type of research, the problem is identified and a new system or new method is applied in order to solve the problem. Examples: case studies, economic projections, population explosion 3. Action Research This is a decision-oriented research where it involves the application of the steps of scientific method in response to an immediate need for improvement of the existing practices. Proponents of this kind of research share the common aim of ending the dislocation of research from practice, an aim which links them with those involved in participatory research and action inquiry.
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Research Manual
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HOW TO WRITE A RESEARCH PAPER
I. Definition and Classification of Research
Research is a formal, systematic, data-based, critical scientific inquiry and/or
investigation into a specific problem, undertaken with the objective of finding
answers or solutions to the specified problem, produce findings that are valid to
the group under study, or inferences from these findings that will benefit other
groups.
Research can also be defined as a systematic and scientific way of investigating a
problem with the view of understanding it and finding solutions to it. F. Mugo
(2000) defines it as ―a careful or diligent search, studious inquiry or examination
especially investigation or experimentation aimed at the discovery and
interpretation of facts, revision of accepted theories or laws in the light of new
facts or practical application of such new or revised theories or laws, it can also be
the collection of information about a particular subject.‖
Types of Research
1. Basic Research
This is intended to add to a body of scientific knowledge. It aims to
increase one‘s knowledge of basic principles, advance methodology and
scientific inquiry, and identify theories for testing in the workplace.
Examples: Newton‘s Law, Boyle‘s Law, Archimedes‘ Law
2. Applied Research
This is the application of scientific knowledge to the solution of a
problem. There is a development of new system or procedure, new
device, or new method in order to solve the problem. In this type of
research, the problem is identified and a new system or new method is
applied in order to solve the problem.
Examples: case studies, economic projections, population explosion
3. Action Research
This is a decision-oriented research where it involves the application of
the steps of scientific method in response to an immediate need for
improvement of the existing practices. Proponents of this kind of research
share the common aim of ending the dislocation of research from practice,
an aim which links them with those involved in participatory research and
action inquiry.
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Examples: promote reflective practice; professional development;
empowerment; understanding of tacit professional knowledge; curriculum
development; institutional change; and development of democratic
management and administration.
Characteristics of Good Research Problem
1. The question is feasible (i..e., it can be investigated without an undue amount
of time, energy, or money.)
2. The question is clear (i.e., most people would agree as to what the key words
in the question mean.)
3. The question is significant (i.e., it is worth investigating because it will
contribute important knowledge about the human condition.)
4. The question is ethical (i.e., it will not involve physical or psychological harm
or damage to human beings, or to the natural or social environment.)
5. Research problem should be:
S - Specific
M - Manageable
A - Achievable
R - Realizable
T - Time frame
Criteria of Good Research
1. The purpose of the research, or the problem involved, should be clearly
defined and sharply delineated in terms as unambiguous as possible.
2. The research procedures used should be described in sufficient detail to permit
another researcher to repeat the research.
3. The procedural design of the research should be carefully planned to yield
results that are as objective as possible.
4. The researcher should report, with complete frankness, no flaws in procedural
design and estimate their effect upon the findings.
5. Analysis of the data should be sufficiently adequate to reveal its significance;
and the methods of analysis used should be appropriate.
6. Conclusions should be confined to those justified by the data of the research
and limited to those for which the data provide an adequate basis.
7. Greater confidence in the research is warranted if the researcher is
experienced, has a good reputation in research, and is a person of integrity.
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How does one select a topic for research?
Research topics are influenced significantly by the interest and specialization of
the researcher. Topic selection is normally dependent on the interest of the
researcher, availability of data, relevance to present needs and situation,
usefulness of the study and feasibility—given the time, workload and other
responsibilities of the researcher. Some research topics are defined by others
(e.g., funding institutions or the school itself) and commissioned to the researcher.
The following are the factors considered in the selection of a research problem:
1. Novelty and avoidance of unnecessary duplication.
2. Practical value of the problem.
3. Investigator‘s interest in the problem.
4. Availability of data and choice method.
5. Training and special qualifications.
6. Time required to investigate the problem.
7. Cost involved in conducting the research.
8. Institutional or administrative cooperation.
How is the title of the study formulated?
Once you have zeroed in on a topic, you are now ready to formulate the title of
your study. There no fixed rules in formulating the title of the research study.
But some say that the ideal number of words in a title ranges from 8 to 15.
Many experienced researchers formulate the title of the study in consonance with
the research problems. Thus, at this stage of the research, any title that may be
formulated is usually tentative and subject to the definition of the problems,
review of related literature and the formulation of the theoretical framework.
Nonetheless, it is helpful to come up with a title of the study at this stage already,
since clarifying the title will also facilitate the formulation of the problems and
later the review of literature and research methodology.
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II. Formal Research Report Writing Contents
1. TITLE AND TITLE PAGE
Title pages, balanced and uncrowded, should contain vital information. Report or
article titles should be descriptive enough to allow accurate abstracting for other
researchers. Eliminate title deadwood: the obvious, the general, and the vague.
The title and abstract fit together as a unit; therefore, the title should not be
repeated verbatim in the abstract.
The purpose of a title page is not to be a cover sheet; a blank white page would do
nicely for that. To serve its appropriate function, a title page should look balanced
and uncrowded and include the following:
Title of Report
The code, contract, or project number; if any
Author(s) of report and affiliation
Where it is presented or to whom it is submitted
Date of submission or presentation
The security or confidentiality notice, if any
2. TABLE OF CONTENTS
A table of contents should be specific, informative and easily accessible.
The table of contents is the key to the functionality of reports and proposals; it is
not window dressing. It should:
Direct authorities to the most important information they need
Direct other skimming readers to specific technical sections
Provide overview of the scope and contents of the report
Highlight key ideas
Help readers locate information
3. OTHER FRONT CONTENTS (PREFACE, FOREWORD, and
ACKNOWLEDGEMENT)
The preface, foreword, and acknowledgement should not repeat the bibliographic
or other introductory sections of your report. Rather, they should contain only
highlights. Many readers will not read the front matter at all.
The preface or foreword is an introduction, usually by the author, that explains
such things as the score, the purpose, and the background of the document. The
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preface or foreword may also acknowledge those who helped in the work: the
technical research staff; those with whom the researcher discussed the findings,
conclusions, and recommendations; those whose published works were used in
the research; and finally those who helped in manuscript preparation.
If other parts of the paper present the purpose, scope, and background, forego
having a preface or foreword and cite those who helped in a section entitled
Acknowledgement.
4. ABSTRACT
Abstract summarizes new contributions to a field, provide key words for
computer searches; establish a framework for the significance of an entire report,
allow readers to select areas to read, and remind readers of what they have read.
Informative abstract provides stand alone summaries of key report information.
Descriptive abstract merely tells readers the general nature of the information they
will find in the full report. Always prefer an informative abstract to a descriptive
one.
5. EXECUTIVE SUMMARY
An executive summary is a report in miniature and therefore should present all
key information. It is, however, generally addressed to non-technical audiences.
Executive summaries give more attention to conclusions and recommendations
than to procedure, may or may not follow the order of the report, and run longer
than abstracts- sometimes several pages. A report may include both an abstract
and executive summary.
6. BODY
Reports should be organized in a descending format, that is, from the big-picture
message to supporting detail.
Always prefer a descending arrangement to give the reader the big-picture
message that will be the basis for understanding and appropriating the rest of the
report. The Body contains:
The Introduction
The Conclusions
The Recommendations
The Discussions: Procedures, Test Results, Qualifications
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7. APPENDIX
The Appendix contains supporting documentation (data presented in charts,
tables, graphs, drawings, maps) that will be of interest only to a few secondary
readers. A summary of the significant information from the tables or graphics
should be included in the text of the report. A reader should not have to turn back
and forth from text to appendix to read and understand the report.
8. GLOSSARY and DEFINITION OF TERMS
A Glossary lists in alphabetical order the symbols, abbreviations, and terms used
in your report, along with their definitions. Definition of Terms ,on the other
hand, is basically the same but is found in the first chapter of the study.
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III. The Problem and Its Background
A. Rationale or The Background of the Study
The rationale--- also background of the study--- introduces the problems that the
study intends to address. It discusses the events, conditions, situations and
developments that lead the researcher to select the topic and the research
problem(s). These developments may be political, economic, social,
technological, cultural or even religious, which are happening at the global or
national level but are affecting the academe, school or organization (your
company).
The more concise and focused the rationale of the study the better. Seasoned
researchers maintain that a good rationale ought not to go beyond two pages,
typed double space in a short bond paper, following the standard margins.
This is not hard to understand, since the main goal of the rationale is merely to
introduce your topic and to set the stage to formulate your research problems.
B. Theoretical Framework
A theoretical framework is the foundation and structure upon, or around, which
your entire research study will be developed. It also defines the relationships of
all the variables pertinent to the study, explains the theory underlying these
relationships and describes the nature and direction of these relationships. It
explains the nature, causes and dynamics of the problems being investigated, a
process which is very important since it will set the stage for drawing testable
hypotheses.
C. Conceptual Model
The conceptual model operationalizes the theoretical framework of the study. It
is a formalized diagrammatic representation showing the relationships of the
variables indicated in the theoretical framework. It translates theory into reality
through the application of some qualitative or quantitative tools of analysis. Thus,
the conceptual model makes possible the empirical investigation, testing and
analysis of the theoretical framework.
The conceptual model also elaborates in greater detail testable hypotheses and
reflects these relationships in the form of signs (positive or negative), parameters
or symbols in the chosen quantitative or qualitative measurements. The signs,
parameters and symbols in a mathematical equation, for example, signify the
nature, direction and extent of the relationship of the various variables. They are
tentative answers, which are still subject for empirical verification.
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Another purpose of the conceptual model is to guide the researcher in formulating
the research design and procedures of the study. It also provides the basis for
identifying and defining the kind of data to be gathered, the target respondents,
the instruments to be used in the gathering of data, other sources of data and
methods of analysis.
D. Statement of the Problem
The research problem is an intellectual stimulus that calls for an organized
response in the form of scientific inquiry. This attempts to focus on a stated goal
gives direction to the research process. It must be limited enough in scope to
make a definite conclusion possible. It is the main concern and focus of the
investigation. To pass as a research problem, the problem must be identifiable
and observable in real-life situations. In other words, the researcher can study the
problem empirically.
The research problem is usually categorized into general and specific problems.
The general problem merely restates the title of the study. The specific problems
lay down the various components of the general problem.
E. Hypotheses of the Study
A hypothesis is a potential solution to a problem. But it is a tentative construct or
assumption which will be proved or disproved later according to the evidence.
Often it is expressed as the null hypothesis.
This approach clearly establishes the nature of the problem and the logic
underlying the investigation, and gives direction to the data-gathering process.
Also, the research hypothesis is a tentative answer to a question. It is a hunch, or
an educated guess, to be subjected to the process of verification or
disconfirmation. The gathering of data and the logical analysis of data
relationships provide a method of confirming or disconfirming the hypothesis by
deducting its consequences.
F. Significance of the Study
This is a statement on the importance of the study in relation, for example, to the
school, community, society, industry, or to the development of the present stock
of knowledge. Careful formulation and presentation of the implications or
possible applications of knowledge helps to give the project an urgency by
justifying its worth.
G. Scope and Limitation
This contains the parameters of the study. This may include the population,
geographical location, period covered, and the variables used in the study. This
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also comprises those conditions beyond the control of the researcher that may
place restrictions on the conclusions of the study and their application to other
situations.
H. Definition of Terms
This consists of the operational definitions of the terms that will be frequently
used in the study. It is important to define all unusual terms that could be
misinterpreted. These definitions help to establish the frame of reference with
which the researcher approaches the problem. Definitions of terms need to be
specific, definite and focused.
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IV. Review of Related Literature and Studies
A summary of the writings of recognized authorities and of previous research
provides evidence that the researcher is familiar with what is already known and
what is still unknown and untested. Since effective research is based upon past
knowledge, this step helps to eliminate the duplication of what has been done, and
provides useful hypotheses for significant investigation. Citing studies that show
substantial agreement and those that seem to present conflicting conclusions help
to sharpen and define understanding of existing knowledge in the problem area,
provides background for the research project, and makes the reader aware of the
status of the issue.
Related Literature
This refers to articles or books written by authorities giving their opinions,
experiences, theories, or ideas of what is good and bad, desirable and
undesirable within the problem area. In reviewing related literature, the
researcher can refer to a variety of materials such as encyclopedias of general
and /or specialized areas, books and yearbooks, and a number of indexes like
the indexes to periodical literature, indexes to materials appearing in
newspapers, indexes to literature appearing in collections or anthologies, and
indexes to reference books.
Related Studies
These refer to published and unpublished reports of actual research studies
done previously. This usually starts with a search for and an exploration of
the research investigations that are related to the research problem or topic.
This process requires critical and evaluative skill on the part of the researcher
since he will have to render judgment on whether or not a particular research
study bears some relation to his own study. In reviewing related studies, the
researcher can refer to a variety of materials, various indexes, and abstracts of
research studies such as masteral theses and doctoral dissertations.
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Goals of Literature Review
To demonstrate a familiarity with a body of knowledge and establish credibility. A
review tells a reader that the researcher knows the research in an area and knows the
major issues. A good review increases a reader‘s confidence in the researcher‘s
professional competence, ability, and background.
To show the path of prior research and how a current project is linked to it. A review
outlines the direction of research on a question and shows development of
knowledge. A good review places a research project in a context and demonstrates its
relevance by making connections to a body of knowledge.
To integrate and summarize what is known in an area. A review pulls together and
synthesizes different results. A good review points out area where prior studies agree,
where they disagree, and where questions remain. It collects what is known up to a
point in time and indicates the direction for future research.
To learn from others and stimulate new ideas. A review tells what others have found
so that a researcher can benefit from the effort of others. A good review identifies
blind alleys and suggests hypothesis for replication. It divulges procedures,
techniques, and research designs worth copying so that a researcher can better focus
hypotheses and gain new insights.
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V. Methodology of the Study
A. Research Design
1. Historical Method
A systematic critical inquiry of the whole truth of past events using critical
method in the understanding and interpretation of facts which are
applicable to the current issues and problems.
2. Descriptive Method
The study focuses at the present condition. The purpose is to find new
truth. The truth may have many different forms such as increased quantity
of knowledge, a new generalization or new ‗law‖ an increased insights
into factors which are operating, the discovery of a new causal
relationship, a more accurate formulation of the problem to be solved and
many others.
Types of Descriptive Research
a. Descriptive-survey. This approach is appropriate wherever the objects of any
class vary among themselves and one is interested in knowing the extent to
which different conditions obtain among these objects.
b. Descriptive-normative. This approach ascertains the normal or typical
condition (or practice), or to compare local test results with a state or national
norm.
c. Descriptive-status. This approach to problem-solving seeks to answer
questions to the real facts relating existing conditions. This is a technique of
quantitative description which determine the prevailing conditions in a group
of cases chosen for study.
d. Descriptive-analysis. This is a method of determining and describing the
nature of a thing by separating it into its parts. It has its purpose to discover
the nature of things.
e. Descriptive-classification. This method is employed in natural sciences
subjects such as Botany, Zoology, Biology, Ichthyology, and the like. The
specimens collected are classified from Phylum to species.
f. Descriptive-evaluative. This method is designed to appraise carefully the
worthiness of the current study.
g. Descriptive-comparative. It is a comparative survey where the research
considers at least two entities and establishes a formal procedure for obtaining
criterion data on the basis of which one can compare and conclude which of
the two is better.
h. Correlational survey. This is designed to determine the relationship of two
variable (X and Y) whether their relationship is perfect, very high, high,
marked, slight, or negligible.
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3. Experimental Method
Experimental method is a problem-solving approach that the study is
described in the future on what will be when certain variables are carefully
controlled or manipulated. This method usually conforms most likely
some of the canons of research in natural sciences and has distinct
limitations in the fields of education, psychology and sociology.
4. Case Study Method
It is an intensive investigation of a particular individual, institution,
community, or any group considered as a unit which includes the
development, adjustment, remedial, or corrective procedures that suitably
follow diagnosis of the causes of maladjustment or of favorable
development.
B. Subjects of the Study
The subject of a research study may either be persons or documents. The
document can be a book, historical record, article or speech, work of art, symbols
and the like. Persons are the individual human beings from whom researcher
gathers the data and information particularly opinions and perceptions needed to
respond to the problems raised in the study.
C. Population and Respondents
This section describes the population, and the reason for the choice of the
subjects. The segment textually gives the current status of the respondents and
their current significance to the study. This also presents the population grouping
(if any) used to segregate the sample size.
D. Sampling
Sampling refers to the process of selecting a representative part of a population
for purposes of determining the characteristics of the whole population. When
dealing with people, a sample is a set of respondents selected from a larger
population for the purpose of a survey.
Types of Sampling Techniques
Non-probability Sampling Probability Sampling Haphazard: Select anyone who is convenient for
the researcher (not recommended)
Quota: Select anyone in predetermined groups
Snowball: Select people connected to one another
Purposive: Select people in hard to find target
population
Simple Random: Select people based on a true
random procedure
Systematic Random: Select people according to
pre-assigned numbers per respondent
Stratified: Categorizing the population, then
randomly select respondents
Cluster: multiple use of stratified sampling in the
population
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Method in computing sample size
By percentage
For a very large population, 10% of the population is obtained, if the
population is small, 20% is desired.
By Margin of error
Using Slovin’s Formula
n = N / ( 1 + N e2 )
where: n = sample size
N= population size
―e‖= margin of error (0.05 margin of error is recommended)
E. Collection of Data
This refers to the kinds of information researcher obtains on the subjects of their
research. Data constitute an accepted number, quantity, facts, or relation used as
a basis for drawing conclusions, making inferences, or carrying out investigations.
Data may be classified in various ways. Data may be objective or subjective.
They may be quantitative or qualitative. They may be attributes or variables.
Data may also be classified according to the methods and types of research that
the researcher may use.
Classification of Data
a. Primary or Direct Data. These are information directly gathered from an
original source, or which are based on direct or first- hand experience. These
data can be obtained directly by the researcher.
b. Secondary Data. These are information and documentary materials which are
taken from published or unpublished data and were previously gathered by
other individuals or agencies.
F. Instrumentation
This is the whole process of collecting data. It involves the selection and design
of the instruments, and also the conditions under which the instruments will be
administered.
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Types or Techniques Used
a. Observation. It is frequently associated with the study of behavior or
characteristics. It is also useful in gathering information concerning aspects of
material objects of specimens.
b. Interview. It is a data-gathering device which, in a sense, is an oral
questionnaire. Instead writing the response, the subject or interviewee gives
the needed information verbally in a face-to-face relationship.
c. Inquiry Forms. The general category of inquiry forms includes data-gathering
instruments through which respondents answer questions or responds to
statements in writing.
Questionnaire. A list of planned, written questions related to a
particular topic, with space provided for indicating the response to
each question, intended for submission to a number of persons for
reply.
Types of Questionnaire
1. Structured or closed-form. This type of questionnaire asks a
question and provides several possible answers. From the
several possible answers provided, the respondent asked to
select the most appropriate answer. It is easy to fill out, takes
little time, keeps the respondent on the subject, is relatively
objective, and is fairly easy to tabulate and analyze.
2. Unstructured or open form. This type of questionnaire
primarily asks questions but no suggested answers are given
by the investigator. This type calls for a free response in the
respondent‘s own words.
Opinionnaire. Refers to the information form that attempts to measure
the attitude or belief of an individual.
Q Methodology. It is a technique for scaling objects or statements. It
is a method of ranking attitudes or judgments and is particularly
effective when the number of items to be ranked is large.
Sociometry. Refers to the technique for describing social relationships
that exist between individuals in a group. In an indirect way, it
attempts to describe attractions or repulsions between individuals by
asking them to indicate whom they would choose or reject in various
situations.
“Guess-who‖ Technique. This process consists of description of the
various roles played by children in a group. Children are asked to
name the individuals who fit certain verbal descriptions. Items of this
type yield interesting and significant peer judgments, and are useful in
the study of individual roles.
Social- Distance Scale. This device attempts to measure to what
degree an individual, or a group of individuals, is accepted or rejected
by another individual or group. Various scaled situations, with score
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value ranging from acceptance to rejection, are established. The
individual checks hi or her position by choosing one of the points on
the scale.
d. Psychological Tests and Inventories. It is an instrument designed to describe
and measure a sample of certain aspects of human behavior. Tests may be
used to compare the behavior of two or more persons at a particular time, or
one or more persons at different times. Psychological tests yield objective and
standardized descriptions of behavior, quantified by numerical scores.
e. Library Technique. This technique mainly used the source in the library for
both conceptual and research literature.
Qualities of Good Instrument
a. Validity. A test is valid to the extent that it measures what it claims to
measure. It is also the defensibility of the inferences researchers make from
the data collected through the use of an instrument.
Types of Validity
Content Validity. Shows how adequately the test samples the universe
of knowledge, attitudes, and skills that a student is expected to master.
Construct Validity. It is the degree to which scores on a test can be
accounted for by the explanatory constructs of a sound theory.
Concurrent Validity. It is the degree to which the test agrees with or
correlates with a criterion which is set up as an acceptable measure.
Predictive Validity. It is evaluated by relating the test to some actual
achievements of the student of which the test is supposed to predict his
success.
b. Reliability. A test is reliable to the extent that it measures consistently, from
one time to another. Reliable tests, whatever they measure, yield comparable
scores upon repeated administration. A test may be reliable, even though it is
not valid. A valid test is always reliable.
c. Usability. Means the degree to which the measuring instrument can be
satisfactorily without undue expenditure of time, money, and effort.
d. Objectivity. A test should yield a clear score value for each performance, the
score being independent of the personal judgment of the scorer.
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Principles to Consider in Constructing Questionnaires
1. Define or qualify terms that could easily be misinterpreted.
2. Be careful in using descriptive adjectives and adverbs that have no agreed-
upon meaning.
3. Be careful of inadequate alternatives.
4. Beware of double negatives.
5. Avoid the double-barreled question.
6. Underline a word if you wish to indicate special emphasis.
7. When asking for ratings or comparisons a point of reference is necessary.
8. Avoid unwarranted assumptions.
9. Phrase questions so that they are appropriate for all respondents.
10. Design questions that will give a complete answer.
11. Provide for the systematic quantification of responses.
12. Consider the possibility of classifying the responses yourself, rather than
having the respondent choose categories.
G. Data Treatment and Analysis
Identifies the kind of data yielded by the study and presents the testing of the
hypotheses. The statistical tool and/or application that is to be used in the study
should be the appropriate one to use in the said study.
Statistical Tools
1. Measurement Scale
a. Nominal scale
In scaling the nominal variable, two or more different identifier can be
used. The most common identifier to use is that of ―1‖ and ―0‖. (e.g.
gender : 1 for male, 0 for female )
b. Ordinal Scale
Have the properties of a nominal scale except scores in an ordinal scale
can be compared which is greater or lesser. (E.g. socio-economic status,
conduct grade)
c. Interval Scale
Have all the properties of the Ordinal scale except measurements in
Interval Scale, the difference between two measures can be identified and
be interpreted. (e.g. Temperature, Scholastic grades )
d. Ratio Scale
Have all the properties of the interval scale except measures in the Ratio
Scale has an absolute zero-point, having a ―0‖ measure in Ratio Scale
means absence of that measure ( e.g. length, volume )
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2. Data Processing
Once the data has been gathered, the researcher should process the data into
quantitative and qualitative form. These forms are involved in data processing
to acquire precise analysis and interpretation of the data. Data Processing,
which involves 3 Mechanism output, is a means of converting information
either manually or by machine into forms for use in research analysis.
3 Basic Steps in Data Processing
1. Categorization of Data
Refers to the grouping of subjects under study according to the
objectives or purpose of the study
2. Coding of Data
After the categorization of the subjects, data are then encoded to
facilitate tabulation of data. The codes may be either numerical,
alphabetical or both.
3. Tabulation of Data
The raw data should be converted to arrive at a frequency
distribution table. This should facilitate in organizing the data in a
systematic order in a table or several tables.
3. Statistical Treatment
a. Descriptive Statistics. These are used to describe the data that have been
collected on research sample. The mean, median, and standard deviation
are the main descriptive statistics: They are used to indicate the average
score and the variability of scores for the sample. The advantage of
descriptive statistics is that they enable the researcher to use one or two
numbers (e.g., the mean and standard deviation) to represent all the
individual scores of subjects in the sample. The capability to reduce a
mass of ―raw data‖ to a few descriptive statistics greatly simplifies the task
of data interpretation.
Three Aspects of Descriptive Statistics
a.1 Frequency Distribution. It is any listing of a set of classes (test
scores, for instance) and the frequency of observations in that class
(number of students who made that score). The frequency distribution is a
first step in summarizing and describing data. It removes the names of the
subjects and provides a way of grouping the measurements. This can be
presented through histogram or bar graph, and frequency polygon or
curve.
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a.2 Measures of Central Tendency. Refers to a single number which will
be used in some definite way to indicate the central value of a group
observations or individuals where this central value represents all the
figures in a group of which it is a part. In other words, an average is a
measure of central tendency where a single central value can stand for the
entire group of figures as typical of all the values in the group.
Three Measures of Central Tendency
1. Mean. The mean is the most frequently used measure of
central tendency because it is subject to less error, it is
rigidly defined, and it is easily calculated. This is the best
measure of regular distribution because it is most reliable,
stable, least probable error, and is most generally
recognized measure of central tendency. However, it does
not supply information about the homogeneity of the group.
The more heterogeneous the set of observations or group of
individuals, the less satisfactory is the mean.
2. Median. The sum of absolute deviations about the median
is less than or equal to the sum of absolute deviations about
any other value. The median is the best measure of central
tendency when the distribution is irregular or skewed. It
may be located in an open-end distribution or when the data
are incomplete. However, the median necessitates
arranging of items according to size before it can be
computed. It has a larger probable error than the mean. It
does not lend itself to algebraic treatment. Also, It is
erratic if the data do not cluster at the center of the
distribution.
3. Mode. The mode is entirely independent of the extreme
measures, its position is not stable, it is not contributed by
all the items in a series, and it may not always be well-
defined or possible to locate properly. However, the mode
is inapplicable to small number of cases when the values
may not be repeated. It is nor rigidly defined and is
inapplicable to irregular distribution.
a.3 Measures of Variability. This measures the spread or dispersion of
scores in a distribution.
Methods in Measuring the Variability
1. Range. It is the distance between the highest and the lowest
score. The range is a crude measure of variability in that one
extreme score could alter its size.
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2. Standard Deviation. It‘s a more stable measure of
variability. It is a summary of the distance of every score
from the mean. When the standard deviation is small, it
shows that the average distance between the scores and the
mean is small. When the standard deviation is large, it shows
that the average distance between every score and the mean
is large.
3. Correlation Coefficient. Correlational research has its own
descriptive statistic. It assesses the strength of a correlation
or the degree and direction of relation between two variables.
b. Inferential Statistics. These are used to make inferences from sample
statistics to the population parameters. This important because a whole
population is rarely studied but rather a sample or sample randomly drawn
from the population. Inferential statistics can be used to estimate the
probability that the observations made in one sample are also true for a
larger population, and to infer whether a pattern of observations was due
to a particular independent variable or whether it might well have been
due to chance alone.
Kinds of Inferential Statistics
b.1 Probability. This is a basic tool of inferential statistics. It is a
complex area that was developed so that researchers and mathematicians
can estimate reasonably and accurately the chances that a particular event
will occur.
b.2 Statistical Significance. This allows the researchers to determine
exactly how small the probability is that their results have come about by
chance. If computations of probability indicate that the outcome could
occur by chance only once in twenty times, the probability of that outcome
is 0.05.
c. Test Statistics. These are mathematical methods for describing and
analyzing the psychometric properties of tests and other instruments.
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V. Presentation, Analysis and Interpretation of Results
This section discusses the results of the investigation with the corresponding
interpretations. Tables or charts may be used in the presentation to further
improve and simplify the analysis and interpretation of the results of the study.
Three Modes of Presenting Data
1. Textual. This mode embraces the discussion and analysis of data.
2. Tabular. This mode is used to present, through tables, the data of the study.
3. Graphic. This mode of presenting data, through graphs, charts, and other
devices, clarifies further in a more vivid fashion certain facts, trends, and
relationships in cases where tables can not show various shades of meanings.
Sorting and Tabulation of Data
Tabulation. It is the process of transferring data from the data-gathering
instrument to the tabular form in which they may be systematically examined.
Hand sorting, hand recording, and hand tabulation. In this method tabulations
are written on tabulation sheets. To save time and to ensure greater accuracy, it is
recommended that one person read the data while the other records them on the
tabulation sheet. Marks are best recorded by fence tallies, with a cross line for
every five tallies. In constructing tally form sheets it is important to provide
enough space to record the tallies in each category.
Careful planning is needed before the sorting and tabulation of data start. The
researcher should decide upon the categories that are to be established for analysis
before tabulating questionnaires or opinionnaires.
Tables and Figures
Tables and figures do not serve merely as aids to a reader‘s understanding. They
serve an even more important purpose, namely, to help the researcher to see the
similarities and relationships of his data in bold relief, as places in rows and
columns according to some logical plan for classification.
Table. It is a systematic method of presenting statistical data in vertical columns
and horizontal rows, according to some classification of subject matter. Tables
enable the reader to comprehend and interpret masses of data rapidly, and to grasp
significant details and relationships at a glance.
Rules for Handling of Tables
1. Good tables are relatively simple, concentrating on a limited number of ideas.
It has been said that the mark of a good table is its effectiveness in conveying
ideas and relationships independently of the text of the report.
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2. If a table is large enough to occupy more than a half-page, it should be placed
on a page by itself, carefully centered for a balanced effect. If it is short,
occupying less than a half-page, it may be placed on the page with textual
material, preferably following as closely as possible the textual discussion that
related to it.
3. Text references should identify tables by number, rather than by such
expression as, ―The table above,‖ or ―the following table‖.
4. Tables should not exceed the page size of the manuscript.
5. The word Table is centered between the page margins and typed in capital
letters, followed by the table number in capital Roman numerals or in Arabic
numbers.
6. Expressions such as ―table showing‖, ―distribution of‖, ―frequency of‖ should
be avoided because they are unnecessary.
7. The top of the table is placed three spaces below the last line of the title.
8. It should be mentioned in the title those numbers that are shortened by the
omission of zeros (in millions of pesos, in thousand of tens).
9. Numerical data are usually arranged in descending order of magnitude or
frequency, so that comparisons by position can be noted readily.
10. Decimal points should always be aligned in the column.
11. When footnotes are needed to explain items in the table, small Arabic letters
or typewriter symbols are used.
Figure. This is a device that presents statistical data in graphic form. Figures
include graphs, charts, drawings, diagrams, maps, photographs, blueprints, some
kinds of computer print-outs, and so forth.
Characteristics of Good Figures
1. The title should clearly describe the nature of the data presented.
2. Figures should be simple enough to convey a clear idea, and be
understandable without the aid of textual description.
3. Numerical data upon which the figure is based should be presented in an
accompanying table, if it is not included in the figure itself.
4. Data should be presented carefully and accurately, so that there will be no
oversimplification, misrepresentation, or distortion.
5. Figures that occupy more than a half-page should be placed on a separate
page.
6. Figures should follow, never precede, the related textual discussion.
7. Figures are referred to by number, never as ―the figure above‖ or ―the figure
below‖.
8. Figures are numbered with Arabic rather than Roman numerals.
9. The title of the figure is placed below rather than above it.
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Limitations and Sources of Error in the Analysis and Interpretation of Data
1. Confusing statements with facts.
2. Failure to recognize limitations.
3. Careless or incompetent tabulation.
4. Inappropriate statistical procedures.
5. Computational errors.
6. Faulty logic.
7. The researcher‘s unconscious bias.
8. Lack of imagination.
Analysis and Interpretation of Data
Interpretation. The process of interpretation is essentially one of stating what the
results (findings) show. What do they mean? What is their significance? What is
the answer to the original problem? This process calls for a critical examination
of the results of one‘s analysis in the light of his previous analyses concerning the
gathering of data.
Two Phases of Interpretation
1. Deductive phase. Involves the analysis of data (classification and tabulation
of data).
2. Inductive phase. Involves the synthesis of data (the formulation of
generalizations or principles that may substantiate or refute the hypothesis or
hypotheses).
Analysis. It is a process which enters into research in one form or another from
the very beginning. This is concerned with four things:
1. One must analyze his research problem carefully to see what is necessary to
provide a solution to it.
2. One must see the factors that he chooses for study will satisfy the conditions
of the problem- a more detailed step than the first one.
3. One must examine his source of data carefully to see that the factors in which
he is interested will have an opportunity to demonstrate themselves.
4. One must examine the means which he expects to employ in gathering data,
to see that these means are capable of registering variations of appropriate
magnitude, simplicity (purity, or singleness), and at the same time complexity.