Psicometria II – Formulario
𝑛𝐶𝑟=�𝑛
𝑟�=𝑛!
𝑟!(𝑛−𝑟)! 𝑛𝑃𝑛=𝑛! 𝑛𝐷𝑟=𝑛!
(𝑛−𝑟)! 𝑛𝐷𝑟(𝑅)=𝑛𝑟
𝜇=𝑛𝑝 𝜎2=𝑛𝑝𝑞 𝜎=�𝑛𝑝𝑞
𝑧=𝑥−𝜇𝑥
�
𝜎𝑥
� 𝑧=𝑥−𝜇𝑥
�
𝜎
�𝑥
� 𝑡=𝑥−𝜇𝑥
�
𝜎
�𝑥
�
𝑧=(𝑥1−𝑥2)−(𝜇1−𝜇2)
�𝑆1
2
𝑛1−1+𝑆2
2
𝑛2−1
𝑧=(𝑥1−𝑥2)−(𝜇1−𝜇2)
�𝜎1
2
𝑛1 + 𝜎2
2
𝑛2
𝑡=(𝑥1−𝑥2)−(𝜇1−𝜇2)
��𝑛1𝑠12+𝑛2𝑠22
𝑛1+ 𝑛2−2 ��𝑛1+𝑛2
𝑛1𝑛2�
𝑑=1∑𝑑𝑖
𝑛
𝑙
𝑛 𝑆𝑑=�1∑(𝑑𝑖−𝑑
�)2
𝑛
𝑖𝑛 𝑆𝑑=�∑𝑑2
𝑛−𝑑2
𝑡=𝑑
�−𝜇𝑑
�
𝑠𝑑
� 𝑆𝑑
�=𝑆𝑑
√𝑛−1
𝜒2=∑(𝑓𝑡−𝑓𝑒)2
𝑓𝑡
𝑘
𝑖=1 𝜒2=�𝑁(𝐴𝐷−𝐵𝐶)2�
(𝐴+𝐵)(𝐴+𝐶)(𝐵+𝐷)(𝐶+𝐷)
𝐹=𝑆12𝑛1
𝑛1−1
𝑆2
2𝑛2
𝑛2−1
𝐷𝑒𝑣𝑡=∑𝑖
𝑛𝑗
1 ∑𝑗
𝑘
1�𝑥𝑖𝑗−𝑥�2 𝑔𝑑𝑙𝑡=𝑁−1 𝑉𝑎𝑟𝑡= 𝐷𝑒𝑣𝑡
𝑁−1
𝐷𝑒𝑣𝑏=∑𝑖
𝑛𝑗
1 ∑𝑗
𝑘
1�𝑥𝑗−𝑥�2 𝑔𝑑𝑙𝑏=𝑘−1 𝑉𝑎𝑟𝑏= 𝐷𝑒𝑣𝑏
𝑘−1
𝐷𝑒𝑣𝑤=∑𝑖
𝑛𝑗
1 ∑𝑗
𝑘
1�𝑥𝑖𝑗−𝑥𝑗�2 𝑔𝑑𝑙𝑤=𝑁−𝑘 𝑉𝑎𝑟𝑤= 𝐷𝑒𝑣𝑤
𝑁−𝑘
𝐶=𝑇2
𝑁 𝐷𝑒𝑣𝑡=𝑄−𝐶 𝐷𝑒𝑣𝑏=�∑𝑗
𝑘
1 𝑇𝑗2
𝑛𝑗�−𝐶 𝐷𝑒𝑣𝑤=𝐷𝑒𝑣𝑡−𝐷𝑒𝑣𝑏
𝐹(𝐾−1;𝑁−𝑘)=𝑉𝑎𝑟𝑏
𝑉𝑎𝑟𝑤 = 𝐷𝑒𝑣𝑏
𝑘−1
𝐷𝑒𝑣𝑤
𝑁−𝑘
