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SOC 3811 Basic Social Statistics

SOC 3811 Basic Social Statistics

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SOC 3811 Basic Social Statistics

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  1. SOC 3811 Basic Social Statistics

  2. Reminder • Hand in your Assignment 4

  3. Class overviewCompare means of two groups • Dummy variable regression model • Two sample t-test • Group exercise

  4. 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 =

  5. 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.

  6. Sampling distribution of differences in means T-test • Sampling distribution: the distribution of all possible estimates of the difference in means

  7. 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.

  8. 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= =

  9. 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

  10. 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.

  11. Dummy variable regression model

  12. T- test

  13. Dummy Regression model

  14. T-test