Stat Test Notes

Stat Test Notes - Psych 10 / Statistics 60 Test Notes Week...

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Week 1 - Univariate Frequency Distribution o Make a table with f i , rf i = f i /N, E i = N/k o To describe location, use Mode o To describe dispersion, use rf at Mode - χ2 Tests : Goodness of Fit o χ 2 =Σ (O i -E i ) 2 / E i df = k-1 - χ2 Tests: Tests of Independence o Same χ2 as above, but df = (r-1)(c-1) o E ij = R i * C j / N - Explanation o State the precise relationship between the two factors, namely, that X are more likely to do Y o Describe the overall distribution of each variable (w/ the mode and its relative frequency) Week 2 - Necessary Sample Size o Perform a χ 2 with O i and E i values in prob. Form and multiplied by N - Probability o Addition Rule p(A or B) = p(A) + p(B) – p(A and B) o Multiplication Rule for Indep. Events p(A and B) = p(B)*p(A) o Bayes’ Rule p(A|B) = p(A and B) / p(B) Note: p(A and B) = p(A|B) * p(B) - Reminders o Make a Table o Take into account “gets exactly 1 question right out of 4” = 4 ways to do this Week 3 - rf- and rcf-histograms for grouped data o Set-Up Make a table with rf i , rcf i, real interval, midpoints x-bar Real interval is initial interval +/- .5 on either end. X u = Upper Limit Value Rcf u = Upper limit rcf P = Desired proportion Rf c = Relative frequency of interval W c = Width of Interval o X p = X u – [(rcf u – p) / rf c ] * W
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Stat Test Notes - Psych 10 / Statistics 60 Test Notes Week...

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