Question

In: Statistics and Probability

Before we conduct the independent-measures t-test, which other test must we perform and why?

Before we conduct the independent-measures t-test, which other test must we perform and why?

Solutions

Expert Solution

Before we conduct the independent measures t-test we should perform the "F-test for the Equality of Two Population Variances"

The null hypothesis here is a statement about the population variances (in this case, that the population variances and ​ are equal), and the alternative hypothesis is the complementary hypothesis to the null hypothesis (in this case, that the population variances ​ and ​ are unequal)

The formula for the F-statistic is

This test is done to check whether the two samples come from populations having the same variance or not.

If they come from the population having the same variance then the value of the degrees of freedom of the t-test and the test statistic is calculated in a different manner as compared to when they do not come from populations having the same variance but different variances.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions...
Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic...
Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions...
Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a non-directional research hypothesis (two-tailed test) and a level of significance of .05) The superintendent who collected data for Assignments 1 and 2, continued to examine the district’s data. One question that concerned the superintendent’s constituencies was the difference between the school performance scores of the superintendent’s district and a neighboring district that had similar demographic and socio-economic...
Problem #2 1) Conduct an independent-measures t-test using the following data set: Group 1: 12 10...
Problem #2 1) Conduct an independent-measures t-test using the following data set: Group 1: 12 10 15 12 4 16 6 10 8 Group 2: 8 5 9 0 6 5 0 1 - 2) Determine the critical values (for an alpha of .05) that you should use to evaluate this t-score. Please be clear with your steps on how you solved. How did you get each number and whether or not the hypothesis is rejected.
One way to write the research hypothesis for the independent-measures t-test is:
One way to write the research hypothesis for the independent-measures t-test is:
Describe the kind of data that are collected for an independent-measures t test and the hypotheses...
Describe the kind of data that are collected for an independent-measures t test and the hypotheses that the test evaluates. The key to helping formulate your explanation would be to include the assumptions of this statistical model, the type of sample used in this model, and a statement about the null hypothesis.
Describe the kind of data that are collected for an independent-measures t test and the hypotheses...
Describe the kind of data that are collected for an independent-measures t test and the hypotheses that the test evaluates. The key to helping formulate your explanation would be to include the assumptions of this statistical model, the type of sample used in this model, and a statement about the null hypothesis.
To conduct a two-sample test of hypothesis with independent samples, what must be true? a) The...
To conduct a two-sample test of hypothesis with independent samples, what must be true? a) The sample size from each population must be the same. b) The members in both populations must be related. c) The populations must come from different geographic areas. d) Both samples must measure the same parameter (wages, age, preference, etc.) from their respective populations.
To conduct a two-sample test of hypothesis with independent samples, what must be true? a) The...
To conduct a two-sample test of hypothesis with independent samples, what must be true? a) The sample size from each population must be the same. b) The members in both populations must be related. c) The populations must come from different geographic areas. d) Both samples must measure the same parameter (wages, age, preference, etc.) from their respective populations.
Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for...
Indicate which test (dependent samples t-test, independent samples t-test, independent samples z-test) is most appropriate for the following situation: i. Comparison of mean recycling participation between 9 large cities and 11 small cities ii. Comparison of the weights of 16 Toronto Maple Leaf rookies at the beginning versus the end of the regular NHL season. iii. Comparison of fin length of 35 male and 37 female brook trout sampled in Spruce Lake, Nottingham Forest. iv. Comparison of the mass of...
12. Comparing ANOVA and the t test for an independent-measures hypothesis test Suzanne Zeedyk, a developmental...
12. Comparing ANOVA and the t test for an independent-measures hypothesis test Suzanne Zeedyk, a developmental psychologist at Dundee University’s School of Psychology, conducted a pilot study in which parents started a half-hour walk with their infants in a parent-facing or an away-facing stroller and then switched to the other type of stroller midway. Her results suggest that parents talked less to the babies, the babies had higher heart rates, and they were less likely to fall asleep in away-facing...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT