Formula Rio 2

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Psicometria II – Formulario = οΏ½ οΏ½ = ! !(βˆ’)! = ! = ! (βˆ’)! () = = 2 = = οΏ½ = Μ…βˆ’ οΏ½ οΏ½ = Μ…βˆ’ οΏ½ οΏ½ οΏ½ = Μ…βˆ’ οΏ½ οΏ½ οΏ½ = (Μ… 1 βˆ’Μ… 2 )βˆ’( 1 βˆ’ 2 ) οΏ½ 1 2 1 βˆ’1 + 2 2 2 βˆ’1 = (Μ… 1 βˆ’Μ… 2 )βˆ’( 1 βˆ’ 2 ) οΏ½ 1 2 1 + 2 2 2 = (Μ… 1 βˆ’Μ… 2 )βˆ’( 1 βˆ’ 2 ) οΏ½οΏ½ 1 1 2 + 2 2 2 1 + 2 βˆ’2 οΏ½οΏ½ 1 + 2 1 2 οΏ½ Μ… = 1 βˆ‘ = οΏ½ 1 βˆ‘ ( βˆ’ οΏ½ ) 2 = οΏ½ βˆ‘ 2 βˆ’ Μ… 2 = οΏ½ βˆ’ οΏ½ οΏ½ οΏ½ = βˆšβˆ’1 2 = βˆ‘ ( βˆ’ ) 2 =1 2 = οΏ½(βˆ’) 2 οΏ½ (+)(+)(+)(+) = 1 2 1 1 βˆ’ 1 2 2 2 2 βˆ’ 1 = βˆ‘ 1 βˆ‘ 1 οΏ½ βˆ’ Μ…οΏ½ 2 = βˆ’ 1 = βˆ’1 = βˆ‘ 1 βˆ‘ 1 οΏ½Μ… βˆ’ Μ…οΏ½ 2 = βˆ’ 1 = βˆ’1 = βˆ‘ 1 βˆ‘ 1 οΏ½ βˆ’ Μ… οΏ½ 2 = βˆ’ = βˆ’ = 2 = βˆ’ = οΏ½βˆ‘ 1 2 οΏ½βˆ’ = βˆ’ (βˆ’1;βˆ’) = = βˆ’1 βˆ’

Transcript of Formula Rio 2

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Psicometria II – Formulario

π‘›πΆπ‘Ÿ = οΏ½π‘›π‘ŸοΏ½ = 𝑛!

π‘Ÿ!(π‘›βˆ’π‘Ÿ)! 𝑛𝑃𝑛 = 𝑛! π‘›π·π‘Ÿ = 𝑛!

(π‘›βˆ’π‘Ÿ)! π‘›π·π‘Ÿ

(𝑅) = π‘›π‘Ÿ

πœ‡ = 𝑛𝑝 𝜎2 = π‘›π‘π‘ž 𝜎 = οΏ½π‘›π‘π‘ž

𝑧 = οΏ½Μ…οΏ½βˆ’πœ‡π‘₯�𝜎π‘₯οΏ½

𝑧 = οΏ½Μ…οΏ½βˆ’πœ‡π‘₯�𝜎�π‘₯οΏ½

𝑑 = οΏ½Μ…οΏ½βˆ’πœ‡π‘₯�𝜎�π‘₯οΏ½

𝑧 = (οΏ½Μ…οΏ½1βˆ’οΏ½Μ…οΏ½2)βˆ’(πœ‡1βˆ’πœ‡2)

οΏ½ 𝑆12

𝑛1βˆ’1+ 𝑆2

2

𝑛2βˆ’1

𝑧 = (οΏ½Μ…οΏ½1βˆ’οΏ½Μ…οΏ½2)βˆ’(πœ‡1βˆ’πœ‡2)

�𝜎12

𝑛1 + 𝜎2

2

𝑛2

𝑑 = (οΏ½Μ…οΏ½1βˆ’οΏ½Μ…οΏ½2)βˆ’(πœ‡1βˆ’πœ‡2)

��𝑛1𝑠12+𝑛2𝑠22

𝑛1+ 𝑛2βˆ’2��𝑛1+𝑛2𝑛1𝑛2

οΏ½

οΏ½Μ…οΏ½ = 1 βˆ‘ 𝑑𝑖𝑛𝑙

𝑛 𝑆𝑑 = οΏ½ 1βˆ‘ (π‘‘π‘–βˆ’π‘‘οΏ½)2𝑛

𝑖𝑛

𝑆𝑑 = οΏ½βˆ‘π‘‘2

π‘›βˆ’ οΏ½Μ…οΏ½2

𝑑 = π‘‘οΏ½βˆ’πœ‡π‘‘οΏ½π‘ π‘‘οΏ½

𝑆𝑑� = π‘†π‘‘βˆšπ‘›βˆ’1

πœ’2 = βˆ‘ (π‘“π‘‘βˆ’π‘“π‘’)2

π‘“π‘‘π‘˜π‘–=1 πœ’2 = �𝑁(π΄π·βˆ’π΅πΆ)2οΏ½

(𝐴+𝐡)(𝐴+𝐢)(𝐡+𝐷)(𝐢+𝐷)

𝐹 =𝑆12

𝑛1𝑛1 βˆ’ 1

𝑆22𝑛2

𝑛2 βˆ’ 1

𝐷𝑒𝑣𝑑 = βˆ‘ 𝑖𝑛𝑗1 βˆ‘ π‘—π‘˜1 οΏ½π‘₯𝑖𝑗 βˆ’ οΏ½Μ…οΏ½οΏ½2 𝑔𝑑𝑙𝑑 = 𝑁 βˆ’ 1 π‘‰π‘Žπ‘Ÿπ‘‘ = 𝐷𝑒𝑣𝑑

π‘βˆ’1

𝐷𝑒𝑣𝑏 = βˆ‘ 𝑖𝑛𝑗1 βˆ‘ π‘—π‘˜1 ��̅�𝑗 βˆ’ οΏ½Μ…οΏ½οΏ½2 𝑔𝑑𝑙𝑏 = π‘˜ βˆ’ 1 π‘‰π‘Žπ‘Ÿπ‘ = 𝐷𝑒𝑣𝑏

π‘˜βˆ’1

𝐷𝑒𝑣𝑀 = βˆ‘ 𝑖𝑛𝑗1 βˆ‘ π‘—π‘˜1 οΏ½π‘₯𝑖𝑗 βˆ’ �̅�𝑗�

2 𝑔𝑑𝑙𝑀 = 𝑁 βˆ’ π‘˜ π‘‰π‘Žπ‘Ÿπ‘€ = 𝐷𝑒𝑣𝑀

π‘βˆ’π‘˜

𝐢 = 𝑇2

𝑁 𝐷𝑒𝑣𝑑 = 𝑄 βˆ’ 𝐢 𝐷𝑒𝑣𝑏 = οΏ½βˆ‘ π‘—π‘˜1

𝑇𝑗2

𝑛𝑗� βˆ’ 𝐢 𝐷𝑒𝑣𝑀 = 𝐷𝑒𝑣𝑑 βˆ’ 𝐷𝑒𝑣𝑏

𝐹(πΎβˆ’1;π‘βˆ’π‘˜) = π‘‰π‘Žπ‘Ÿπ‘π‘‰π‘Žπ‘Ÿπ‘€

= π·π‘’π‘£π‘π‘˜βˆ’1π·π‘’π‘£π‘€π‘βˆ’π‘˜

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Tavola 5 – Distribuzione di probabilitΓ  della V.C. binomiale per diversi n, x, p

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