Essentials of Statistics for the Behavioral Sciences
8th Edition
ISBN: 9781133956570
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 12, Problem 5P
An independent-measures study comparing four treatment conditions with a sample of n = 8 in each condition produces sample means of M1 = 2. M2 = 3. M3 = 1, and M1 = 6.
a. Compute SS for the set of 4 treatment means. (Treat the means as a set of n = 4 scores and compute SS.)
b. Using the result from part a. compute n(SSmean). Note that this value is equal to SSbetween (see Equation 12.6).
c. Now, find the 4 treatment totals and compute SSbetween with the computational formula using the T values (see Equation 12.7). You should obtain the same result as in part b.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
For a repeated-measures study comparing three treatment conditions with a sample of n= 4 participants, the participant totals (the P values) are 3, 6, 9, and 6. What is the value for SSbetween subjects?
For a repeated-measures study comparing three treatment conditions with a sample of n = 4 participants, the participant totals (the P values) are 3, 6, 9, and 6. What is the value for SSbetween subjects?
An independent-measures experiment with three treatment conditions has a sample of n = 10 scores in each condition. If all three conditions have the same total, T1 = T2 = T3, what is SSbetween?
Chapter 12 Solutions
Essentials of Statistics for the Behavioral Sciences
Ch. 12.2 - Explain the difference between the testwise alpha...Ch. 12.2 - Prob. 2LCCh. 12.2 - Prob. 3LCCh. 12.2 - Prob. 4LCCh. 12.3 - Calculate SStotal, SSbetween, and SSwithin for the...Ch. 12.3 - A researcher reports an F-ratio with dfbetween = 3...Ch. 12.3 - Prob. 3LCCh. 12.4 - A researcher obtains F = 4.10 with df = 2, 14. Is...Ch. 12.4 - For an ANOVA evaluating the mean differences among...Ch. 12.5 - A researcher used ANOVA and computed F = 4.25 for...
Ch. 12.5 - Prob. 2LCCh. 12.6 - With k = 2 treatments, are post hoc tests...Ch. 12.6 - Prob. 2LCCh. 12.7 - A researcher uses an independent-measures t test...Ch. 12.7 - An ANOVA produces an F-ratio with df = 1, 34....Ch. 12 - Explain why the F-ratio is expected to be near...Ch. 12 - Several factors influence the size of the F-ratio....Ch. 12 - Why should you use ANOVA instead of several t...Ch. 12 - Posttests are done after an ANOVA. a. What is the...Ch. 12 - An independent-measures study comparing four...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - Prob. 11PCh. 12 - The following values are from an...Ch. 12 - There is some evidence that high school students...Ch. 12 - A researcher reports an F-ratio with df = 2. 27...Ch. 12 - A research report from an independent-measures...Ch. 12 - The following summary table presents the results...Ch. 12 - A pharmaceutical company has developed a drug that...Ch. 12 - A developmental psychologist is examining the...Ch. 12 - The following data were obtained from an...Ch. 12 - The following values summarize the results from an...Ch. 12 - The following data are from an...Ch. 12 - One possible explanation for why some birds...Ch. 12 - There is some research indicating that college...Ch. 12 - New research suggests that watching television,...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- A research study recruited 32 adolescent patients with Type 1 diabetes. In random order, each patient received therapy with a bionic pancreas for 5 days and therapy with an insulin pump for 5 days. Is there evidence that, on average, a bionic pancreas helps patients attain a lower plasma glucose level than an insulin pump? Which test is most appropriate for this scenario? 1-sample z-test for proportions B matched-pairs C 1-sample t-test for means D 2-sample test for proportions E 2-sample test for meansarrow_forwardIn a study to determine if the nitrogen content of the soil in Wyoming is significantly different from the nitrogen content of the soil in North Dakota, 34 independent random soil samples from Wyoming and 36 from North Dakota were taken. Given the testing statistics below, determine if the data provides sufficient evidence to conclude that the nitrogen content of the soil in Wyoming is significantly different from the nitrogen content of the soil in North Dakota, at the 1% significance level. H0:μw=μnHa:μw≠μn The test statistic is t0=2.653 t0.005=±2.382arrow_forwardThe following data summarize the results from an independent-measures study comparing three treatment conditions. I II III n = 6 n = 6 n = 6 M = 1 M = 5 M = 6 N = 18 T = 6 T = 30 T = 36 G = 72 SS = 30 SS = 35 SS = 40 ΣX2 = 477 Use an ANOVA with α = .05 to determine whether there are any significant differences among the three treatment means. Calculate η2 to measure effect size for the study. Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size.arrow_forward
- In order to determine whether there are significant differences in the durability of three makes of computers, samples of size n=5 are selected from each make and the frequency of repair during the first year of purchase is observed. The results are as given in the adjoining table. In view of the data, what conclusions can you draw?arrow_forwardThe following data are from an independent-measures experiment comparing two treatment conditions: Treatment 1 Treatment 2 6 19 13 9 8 18 4 10 13 12 4 14 11 19 5 11 a. Do these data indicate a significant difference between the treatments at the α = .05 level of significance? b. Compute r2 to measure the size of the treatment effect. c. Write a sentence demonstrating how the outcome of the hypothesis…arrow_forwardIn a study of whether taking a garlic supplement reduces the risk of getting a cold, participants were assigned to either a garlic supplement group or to a group that did not take a garlic supplement.† Based on the study, it was concluded that the proportion of people taking a garlic supplement who get a cold is lower than the proportion of those not taking a garlic supplement who get a cold. Do you think that the study was conducted in a reasonable way? What additional information would you want in order to evaluate this study? (Select all that apply.) A) whether the patients knew which treatment they were receiving B) whether the patients were randomly assigned to the treatments C) whether the patient's last name started with A through M D) whether the patient's cold lasted more than a week E) whether the experiment was conducted on a sufficient number of patients so that the differences observed could not be attributed to chancearrow_forward
- In one study subjects were randomly assigned to receive either 500 milligrams of vitamin C daily or a placebo, and the number of colds they came down with during a winter season was noted. In the second study people responded to a questionnaire asking about the average number of hours they sleep per night and the number of colds they came down with during a winter season. a. The first study was an observational study, while the second was a controlled experiment. b. The first study was a controlled experiment, while the second was an observational study. c. Both studies were controlled experiments. d. Both studies were observational studies.arrow_forwardThe worker on examining his 20 rainfall sample points concluded that it is more than likely to rain on this May 1st. Describe two or three statistical steps he took to arrive at this conclusion.arrow_forwardThe following data are from a research study comparing two treatment conditions. Do the data indicate a significant difference between treatments? Use a two-tailed test with α = .05. First, assume the data are from an independent-measures study using two separatesamples - and perform a complete HT, and write an APA summary, and find the CI for the difference between the means. Second, assume the data are from a repeated-measures study using the same sample ofn = 5 participants in both treatments - and perform a complete HT, and write an APA summary, and find the CI for the difference between the means. Explain why the 2-point mean difference is reliable for one test but not for the other. Control102I157Treatment1152189arrow_forward
- The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment I II III N = 12 3 5 6 G = 60 5 5 10 ∑X2 = 392 3 1 10 1 5 6 x̅1 = 3 x̅2 = 4 x̅3 = 8 T1 = 12 T2 = 16 T3 =32…arrow_forwardA study, which randomly surveyed 3,700 households and drew on this information from the IRS, found that 79% of households have conducted at least one IRA rollover from an employer-sponsored retirement plan. Suppose a recent random sample of 90 households in a certain county was taken and respondents were asked whether they had ever funded an IRA account with a rollover from an employer-sponsored retirement plan. Based on the sample data below, can you conclude at the 0.10 level of significance that the proportion of households in the county that have funded an IRA with a rollover is different from the proportion for all households reported in the study? 77 respondents said they had funded an account; 13 respondents said they had notarrow_forwardA sample of n=10,000 (x, y) pairs resulted in r= .022. Test H0: p=0 versus Ha: p=? 0 at significance level .05. Is the result statistically significant? Comment on the practical significance of your analysis.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
what is Research Design, Research Design Types, and Research Design Methods; Author: Educational Hub;https://www.youtube.com/watch?v=LpmGSioXxdo;License: Standard YouTube License, CC-BY