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SOC 3811 Basic Social Statistics. Reminder. Hand in your Assignment 4. Class overview Compare means of two groups. Dummy variable regression model Two sample t-test Group exercise. Dummy Regression Model. Do men and women have different wages? H o : = 0 H a : ≠ 0

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## SOC 3811 Basic Social Statistics

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**SOC 3811**Basic Social Statistics**Reminder**• Hand in your Assignment 4**Class overviewCompare means of two groups**• Dummy variable regression model • Two sample t-test • Group exercise**Dummy Regression Model**• Do men and women have different wages? • Ho: = 0 Ha: ≠ 0 • For males: Female=0, so the average male wages = • For females: Female=1, so the average female wages= • The difference between the means of male and females =**If -1.96<Z*<1.96 or Sig. (p value)>.05**→ can’t reject the null hypothesis The dummy variable has no influence. The means for two groups are the same • If ｜Z*｜≥ 1.96 or Sig. (p value)≤.05 → reject the null hypothesis The dummy variable does have an influence. The means for two groups are different.**Sampling distribution of differences in means**T-test • Sampling distribution: the distribution of all possible estimates of the difference in means**T-test**• How likely is it to draw means with a difference of , if the difference in population means is really 0? • If common, we can’t conclude anything • If rare, we can conclude that the population means differ.**T-test**• Ho: Ha: • For males: the average male wages = • For females: the average female wages= • The difference between the means of male and females= =**Calculating z/t :**For any two means, the difference will also fall in a certain range. We can guess the range in which it typically falls one-tail test two-tail test a=.05 a/2=.025 a/2=.025 -1.645 -1.96 1.96**If -1.96<Z*<1.96 or Sig. (p value)>.05**→ can’t reject the null hypothesis The means for two groups are the same. • If ｜Z*｜≥ 1.96 or Sig. (p value)≤.05 → reject the null hypothesis The means for two groups are different.

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