3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL : Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: - y2 where and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by (w, where s and...
3. (Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups. RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: y2 where yi and 2 are the sample means in group 1 and 2, respectively. The pooled variance is given by 2 where s and s...
(Harder question): Show that the two sample t-test statistic squared is equal to the single-factor ANOVA F statistic when there are two levels. For simplicity, assume equal sample size of n in each of the two groups RECALL: Two sided, two independent sample pooled t-test tests the following hypotheses: The test statistic is: VEA where yi and ỹ2 are the sample means in group 1 and 2, respectively. The pooled variance is given by where s and s3 are the...
ITs a stats problem Note that the analysis of variance F test for testing for treatment effects in a CRD with p- 2 treatments is equivalent to testing for equality of treatment means in the pooled two-sample t-test. Recall that the pooled two-sample t test statistic is given by (ni-1)sỈ + (n2-1)s n n2-2 where s2- 2, 2-i is the sample mean of the ith treatment group, s? is the sample variance of the ih treatment group, and n, is...
Question 16 (1 point) A t-test equation can be used to estimate sample size and power? O 1) True O 2) False Save Question 17 (1 point) The standard error the mean is not used in independent t tests? O 1) True O 2) False Save Question 18 (1 point) Before you determine the p-value of an independent t test you should first determine if the variances are equal. You havea greater chance of rejecting the null if the variances...
when variances between two samples are not equal in a paired sample t test, the pooled variance must be computed and used 8n place of the estimated standard error. t or f
The one-sample t statistic from a sample of n = 13 observations for the two-sided test of the following hypotheses has the value t 1.49. Hoi 64 H 64 (a) What are the degrees of freedom for t? df = (b) Locate the two critical values t from Table C that bracket t. (Use 3 decimal places.) <t What are the twwo-sided P-values for these two entries? <P-value 1.49 significant at the 10 % level? (d) Is the value t...
QUESTION 11 You run an independent samples t-test between two groups, and find a t-statistic of t=1.67. Is this sufficient to reject the null hypothesis? Assume α=0.05 and a one-sided test. Yes, > 1.67 is sufficient to reject the null. No, > 1.67 is not sufficient to reject the null. Not enough information. 2 points QUESTION 12 In a dependent samples t-test, the sample sizes must be equal. True False 2 points QUESTION 13 In an independent samples...
11. What is the null hypothesis for a t-test for two independent groups? a. If mul and mu2 are the population means of the two groups, then the null hypothesis is Ho: mul-mu2=0. b. If sl and s2 are the population standard deviations of the two groups, then the null hypothesis is Ho: sl-s2=0. 12. Differentiate between a data set that should be analyzed using a paired t-test from a data set that should be analyzed using a t-test for...
only need 2-sample t-test for equal variance filled out 1. Create a table using the provided headings for the following tests. The comparison is what is being statistical tested. The other assumptions column should be any additional information needed to distinguish when that test is used as compared to the other tests in the table. (5 pts) Tests to include: 2-sample t-test for equal variance, 2-sample t-test for unequal variance, Mann-Whitney U-test, Z-test, Paired t-test, Wilcoxon Signed Rank Test, 1-Sample...