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Data Analysis II
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Summarizing one variable
Mean, median, or mode Standard error or min/max or interquartile range Shape of distribution
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Other issues Floor, ceiling effect Bimodal ALWAYS PLOT!
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Describing Relationships
Independent Variable Dependent Variable Discrete Continuous Cross-tab Logit if necessary ANOVA Paired t-test Regression Correlation
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Cross-tabs Compare predicted frequency in a category to observed.
Example: Expect men and women to belong at same rate Now observe Men Women Belong to env group 30 36 Don’t belong 70 64
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Calculate Chi-squared statistic for test of H0: pi=p*
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Cross-tabs Men Women Belong to env group 30 33 36 66 0.33 Don’t belong
Calculate relative frequency (.33, .67, .5) Calculate expected frequencies (33, 67) Calculate deviations (x-e) and chi-sq Degrees of freedom=(c-1)(r-1) or 1 here No significant difference here Men Women Belong to env group 30 33 36 66 0.33 Don’t belong 70 67 64 134 0.67 100 .5
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Describing Relationships
Independent Variable Dependent Variable Discrete Continuous Cross-tab Logit if you have to ANOVA Paired t-test Regression Correlation
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Regression Cont. DV, Discrete IV: Regress DV on IV with no intercept. Can read off F-test Discrete DV, Cont. IV: Logit, read off p-value Both continuous: Regression and read off p-value
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Factor analysis for the NEP
To determine how many dimensions the 16 questions are tapping
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