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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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 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.
An employer measured the number of units sold by his 400 sales employees. He noted that 40 woman employees had a mean sales of 122 and a variance of 60 while 35 men employees had a mean performance of 126 and a variance of 74. Assuming that the employees were randomly selected and the distribution is normal, is there a reason to believe that there is significant difference between the sales mean performances of the men and women sales employees? Use 0.01 level to test its significance. (Use the two sample mean z-test.)
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?
Researchers at UT Austin noticed that the seagrass beds in Corpus Cristi Bay (CCB) were taller and thicker than those in Lower Laguna Madre (LLM). They compared the sediment ammonium concentration, in the two locations. Following are the summary statistics on sediment ammonium concentration, in micromoles, obtained by the researchers. Equality of variances is not assumed. CCB: X₁ 115.1, s₁= 79.4, n₁ = 51 LLM: X₂ = 24.3, S₂ 10.5, n₂: 19 = a. At the 1% significance level, is there sufficient evidence to conclude that the mean sediment ammonium concentration in CCB exceeds that in LLM? b. Determine a 98% confidence interval for the difference μ1-µ2, between the mean sediment ammonium concentrations in CCB and LLM. Interpret your answer in (a) in words. c. Do the results in (a) and (b) provide the consistent results? Explain.
A researcher believes that the mean earnings of top-paid actors, athletes and musicians are the same. The earnings (in millions of dollars) for several randomly selected people from each category are shown in the table below. It has been confirmed that the population variance for each group is equal and that earnings follow a normal distribution for top-pain actors, athletes and musicians. Use a 5% significance to test the claim. Job Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Actor Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Athlete Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Musician Earnings 31 34 33 26 21 33 30 36 27 27 34 37 36 23 30 39 46 41 36 50 30 44 43 44 46 54 65 30 39 52 37 41 45 60 60 31 49 45 45 What is the factor variable? Top-Paid Job Type What is the response variable? Earnings Test Statistic: 15.2043 X P-Value: 0.0000✓ O…
Say we were testing the effects of taking calcium on bone density levels and obtained a positive and significant value for our independent t test result. What would you write (using APA format) when performing a percentage of variance explained test on the data and received a value of r2=.38.
A one-way Analysis of Variance (ANOVA) was used to examine whether students’ scores on a standardized test is a function of the teaching method they received (either lecture only, hands-on learning only, or both together). The ANOVA was significant. Run post hoc tests (by hand!) to determine which pairs of the mean are significantly different. Do the math for each and then explain in what way are they different. Method N Mean SD Source df SS MS F Lecture Only 15 82.8 9.59 Between 2 736.53 368.27 5.34 Hands-On Only 15 88.53 8.73 Within 42 2895.47 68.94 Both 15 92.67 6.22 Total 44 3632 Total 45 88
Rather than a series of t-tests, analysis of variance is used because ...

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