Which of the following statements about the assumption of sphericity is not true?ABCDIt is the assumption that the variances for levels of a repeated-measures variable are equal.It is tested using Mauchly's test in SPSS.It is automatically met when a variable has only two levels.It is not assumed by multivariate tests.

The assumption of sphericity is that the variances of the differences between all possible pairs of…

Answered: A It is the assumption that the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher who wanted to understand whether there was a significant difference between the average grades of the students from 3 different courses obtained the following data (Same number of samples was taken). a) In the table containing the data for variance analysis, “?” Find the data indicated by the sign and the number of samples.b) Test whether there is a significant difference between the means at the 5% significance level.
You collect data on coronavirus cases from a random sample of cities of similar sizes in cold climates and in warm climates and make the following table: (This data can be copied into Excel.) You use this data to answer the research question: is the population average number of coronavirus cases different in warm cities and cold cities? You assume that the variances of coronavirus cases are not equal across cold cities and warm cities. What is the p-value associated with your hypothesis test? Round your answer to four decimal places.
Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard (L) users and 30 shortboard (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders (because longboards can go out in many different surfing conditions). Use a level of significance of 0.05. 4 6 9 4 7 4 4 6 8 7 7 8 10 8 6 10 7 4 10 7 13 9 12 5 11 10 15 7 12 4 15 15 12 11 11 11 11 11 19 11 18 10 15 13 10 11 17 12 18 14 21 16 9 9 23 22 22 22 21 10 Find the test statistic for this test. t= (Round to two decimal places as needed.) Find the p-value for this test. p= (Round to three decimal places as needed.) What is the conclusion for this test?
A basketball coach believes that the variance of the heights of adult male basketball players is different from the variance of heights for the general population of men. The sample variance of heights, measured in inches, for a random sample of 19 basketball players is 14.22. The sample variance for a random sample of 18 other men is 34.49. Assume that both population distributions are approximately normal and test the coach's claim using a 0.10 level of significance. Does the evidence support the coach's claim? Let male basketball players be Population 1 and men in general be Population 2. Step 3 of 3: Draw a conclusion and interpret the decision.
A manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that Statement a: The mean is 200mm Statement b : The variance is 1.5mm squared To investigate the second claim the thickness of a second sample of metal sheets was measured. The values found are listed in Part b with mm as unit. Set up the framework of an appropriate statistical test on Statement B Explain how knowing the sample variance before carrying out the test would influence the structure of the test.
A teacher is interested in assessing whether or not there is the same amount of variance in the scores of a particular type of test between male and female students. She believes that the variance for girls is higher than it is for boys. After grading the test she measures the following: In her class, 15 boys had a variance of 460 and 13 girls had a variance of 1,400. Set up hypotheses to test if the teacher’s assumption that the girls’ variance of scores on the test is higher than the boys’ variance. Perform the appropriate test and fully state your results.
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One of the quality measures in testing is the consistency of the results. The consistency is measured by computing the variance of the results in repeated testing. Two types of blood glucose meter testing kits were tested. Blood from the one vial was used for the testing. Suppose 16 Brand X kits yielded a variance of 2.19 while 25 Brand Y kits yielded a variance of 2.30, Test the claim that the mean blood glucose results are different.
The next test is a t-test for unequal variance. Here is the problem: The human resources department at Sue, Grabitt, and Runne also tracks the cost of one-bedroom apartments in two popular neighborhoods, NoBo and SoBo. The general perception of long-time residents is that rents are probably lower in SoBo. They hope to determine whether the average rent for a one-bedroom apartment is lower in SoBo than in NoBo. The results of their survey are shown in Tables 18 and 19: Step 2. Select the Level of Significance, α A 5 percent significance has been selected. Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1) H0: H1: Step 4. Compose the Decision Rule Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power Use G*Power to calculate statistical power
You read in the report of a psychology experiment: "Separate analyses for our two groups of 12 participants revealed no overall placebo effect for our student group (mean = 0.08, SD = 0.37, 4 = 0,49)and a significant effect for our nonstudent group (mean = 0.35, SD = 0.37, ¢u = 3.25, p < 0.01). 'IS The null hypothesis is that the mean effect is zero. What are the correct values of the two t statistics based on the means and standard deviations? Compare each correct talue with the critical values in Table C. What can you say about the twosided Pvalue in each case?
Suppose that you want to perform a hypothesis test based on independent random samples to compare the means of two populations. You know that the two distributions of the variable under consideration have the same shape and may be normal. You take the two samples and find that the data for one of the samples contain outliers. Which procedure would you use? Explain your answer.
It is false for DCA of fixed effects and random effects a. They are all true. b.In random effects the inference can be extended to treatments that are not experienced and in fixed effects it is not. c. The analysis of variance is performed on the variances for the random effects analysis and on the means for the fixed effects analysis. d. In both it is possible to choose for the factor both the number of levels and the levels why?

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