Psicometria II – Formulario = � � = ! !(−)! = ! = ! (−)! () = = 2 = = � = ̅− � � = ̅− � � � = ̅− � � � = (̅ 1 −̅ 2 )−( 1 − 2 ) � 1 2 1 −1 + 2 2 2 −1 = (̅ 1 −̅ 2 )−( 1 − 2 ) � 1 2 1 + 2 2 2 = (̅ 1 −̅ 2 )−( 1 − 2 ) �� 1 1 2 + 2 2 2 1 + 2 −2 �� 1 + 2 1 2 � ̅ = 1 ∑ = � 1 ∑ ( − � ) 2 = � ∑ 2 − ̅ 2 = � − � � � = √−1 2 = ∑ ( − ) 2 =1 2 = �(−) 2 � (+)(+)(+)(+) = 1 2 1 1 − 1 2 2 2 2 − 1 = ∑ 1 ∑ 1 � − ̅� 2 = − 1 = −1 = ∑ 1 ∑ 1 �̅ − ̅� 2 = − 1 = −1 = ∑ 1 ∑ 1 � − ̅ � 2 = − = − = 2 = − = �∑ 1 2 �− = − (−1;−) = = −1 −
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Psicometria II – Formulario
𝑛𝐶𝑟 = �𝑛𝑟� = 𝑛!
𝑟!(𝑛−𝑟)! 𝑛𝑃𝑛 = 𝑛! 𝑛𝐷𝑟 = 𝑛!
(𝑛−𝑟)! 𝑛𝐷𝑟
(𝑅) = 𝑛𝑟
𝜇 = 𝑛𝑝 𝜎2 = 𝑛𝑝𝑞 𝜎 = �𝑛𝑝𝑞
𝑧 = �̅�−𝜇𝑥�𝜎𝑥�
𝑧 = �̅�−𝜇𝑥�𝜎�𝑥�
𝑡 = �̅�−𝜇𝑥�𝜎�𝑥�
𝑧 = (�̅�1−�̅�2)−(𝜇1−𝜇2)
� 𝑆12
𝑛1−1+ 𝑆2
2
𝑛2−1
𝑧 = (�̅�1−�̅�2)−(𝜇1−𝜇2)
�𝜎12
𝑛1 + 𝜎2
2
𝑛2
𝑡 = (�̅�1−�̅�2)−(𝜇1−𝜇2)
��𝑛1𝑠12+𝑛2𝑠22
𝑛1+ 𝑛2−2��𝑛1+𝑛2𝑛1𝑛2
�
�̅� = 1 ∑ 𝑑𝑖𝑛𝑙
𝑛 𝑆𝑑 = � 1∑ (𝑑𝑖−𝑑�)2𝑛
𝑖𝑛
𝑆𝑑 = �∑𝑑2
𝑛− �̅�2
𝑡 = 𝑑�−𝜇𝑑�𝑠𝑑�
𝑆𝑑� = 𝑆𝑑√𝑛−1
𝜒2 = ∑ (𝑓𝑡−𝑓𝑒)2
𝑓𝑡𝑘𝑖=1 𝜒2 = �𝑁(𝐴𝐷−𝐵𝐶)2�
(𝐴+𝐵)(𝐴+𝐶)(𝐵+𝐷)(𝐶+𝐷)
𝐹 =𝑆12
𝑛1𝑛1 − 1
𝑆22𝑛2
𝑛2 − 1
𝐷𝑒𝑣𝑡 = ∑ 𝑖𝑛𝑗1 ∑ 𝑗𝑘1 �𝑥𝑖𝑗 − �̅��2 𝑔𝑑𝑙𝑡 = 𝑁 − 1 𝑉𝑎𝑟𝑡 = 𝐷𝑒𝑣𝑡
𝑁−1
𝐷𝑒𝑣𝑏 = ∑ 𝑖𝑛𝑗1 ∑ 𝑗𝑘1 ��̅�𝑗 − �̅��2 𝑔𝑑𝑙𝑏 = 𝑘 − 1 𝑉𝑎𝑟𝑏 = 𝐷𝑒𝑣𝑏
𝑘−1
𝐷𝑒𝑣𝑤 = ∑ 𝑖𝑛𝑗1 ∑ 𝑗𝑘1 �𝑥𝑖𝑗 − �̅�𝑗�
2 𝑔𝑑𝑙𝑤 = 𝑁 − 𝑘 𝑉𝑎𝑟𝑤 = 𝐷𝑒𝑣𝑤
𝑁−𝑘
𝐶 = 𝑇2
𝑁 𝐷𝑒𝑣𝑡 = 𝑄 − 𝐶 𝐷𝑒𝑣𝑏 = �∑ 𝑗𝑘1
𝑇𝑗2
𝑛𝑗� − 𝐶 𝐷𝑒𝑣𝑤 = 𝐷𝑒𝑣𝑡 − 𝐷𝑒𝑣𝑏
𝐹(𝐾−1;𝑁−𝑘) = 𝑉𝑎𝑟𝑏𝑉𝑎𝑟𝑤
= 𝐷𝑒𝑣𝑏𝑘−1𝐷𝑒𝑣𝑤𝑁−𝑘
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