An Inferential Statistic of Housing Problems - Assignment Example

An Inferential Statistic of Housing Problems PART 1 1. The number of employed women were 436 and the number unemployed were 524. 2. The total sample size is 436+524=960 3. The mean CES-D score in unemployed women was( 20.8965 +12.46) and that for employed was (15.8239 +10.13) 4. Leven’s test is an inferential statistic used to assess the equality of variances (squared deviations of the difference of raw scores and mean score for a variable) which is calculated for two or more groups. Some common statistical procedures assume that variances of the populations from which different samples are drawn are equal. Levene's test assesses this assumption. It tests the null hypothesis that the population variances are equal (called homoscadasticity) If the resulting p-value of Levene's test is less than some critical value (typically 0.05), the obtained differences in sample variances are unlikely to have occurred based on random sampling from a population with equal variances that is it is not homoscadastic. Thus, the null hypothesis of equal variances is rejected and it is concluded that there is a difference between the variances in the population.It is called heteroscadasticity.Some of the procedures typically assuming homoscedasticity are the anova , t-tests.Levene's test is often used before a comparison of means. When Levene's test shows significance, one should switch to generalized tests, free from homoscedasticity assumptions. Since the p value is less than 0.05 ( 0.000) in this case hence homoscadasticity or equal variances cannot be assumed 5. The computed t statistic is 6.95 which is more than the assumed or critical t statistic of 6.82 for assuming equal variance. The degree of freedom is hence retained as 957.51 and the p values as stated is Read More