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psci3300f3 - Formula Sheet for Fina l Exam POS 3713 Spring...

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Formula Sheet for Final Exam POS 3713 - Spring 2007 (Dr. Hensel) Chi-Square X 2 (obtained) = ! (f o " f e ) 2 f e (where f o = observed cell frequencies, f e = frequencies expected if the variables were indep.) f e = (Row marginal * Column marginal) / N df = (r - 1)(c - 1) (where r = # of rows in table, c = # of columns) Phi Phi = X 2 N (where X 2 is calculated as above, and N is the # of cases in the table) Cramer’s V V = X 2 N *min(r ! 1,c ! 1) (where X 2 is calculated as above, N = # cases, r = # rows in table, c = #columns in table) Lambda ! = E 1 ! E 2 E 1 (where E1 = errors without knowing X = based on [N-row marginal] for each row; E2 = errors knowing X = based on [column marginal – largest cell] for each column) Gamma Gamma = N s ! N d N s + N d (where Ns = # same order pairs in data set [cell a*cell d in following example], Nd = # inverse order pairs [cell b*cell c]) Low High Low Cell a Cell b High Cell c Cell d
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ANOVA SST = " (X i 2 ) – [N * (Xbar 2 )] SSB = " [N k * (Xbar k - Xbar) 2 ] SSW = SST - SSB dfb = k-1, dfw = N-k (where ! (X i 2 ) = sum of all squared scores in the data set, k=# categories, N=sample size, Xbar=sample mean) F(obtained) = MSB = [SSB/(k-1)] MSW
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