The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use α= 0.05.

The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use α= 0.05.

Name: The calculations for a factorial experiment involving four levels of f
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any signifi

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.7: Probability

Problem 3SE: What is an experiment?

See similar textbooks

Similar questions

What is an experiment?
For a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 8 participants in each treatment condition, the two means for level A1 are 3 and 5, and the two means for level A2 are 4 and 2. For these data, what is the value of SSbetween treatments?
In a randomized block experiment with treatment Factor T , what is the purpose of doing a multiple comparison if the treatment factor effect is signicant?
The following results are from an independent-measures, two-factor study with n=5 participants in each treatment condition. Use a two-factor ANOVA with α=.05 to evaluate the main effects and the interaction.
For a two-factor ANOVA with two levels of factor A, two levels of factor B, and a separate sample of n = 5 participants in each treatment condition, the two means for level A1 are 6 and 8, and the two means for level A2 are 6 and 10. For these data, what is the value of SSB?
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted in the following data: SST = 280, SSA = 26, SSB = 23, SSAB = 175. Set up the ANOVA table and test for any significant main effects and any interaction effect. Use α=\alpha =α= 0.05.
If the results of a two-factor ANOVA show no main effect for factor A but show a significant interaction, then the results indicate that factor A has no effect on the subjects' scores. True or False
A consumer advocacy group wanted to study whether different airline carriers differed in terms of their delayed flights. In particular, the researchers were interested in the relationship between p1, the proportion of Alpha Airlines flights that were delayed at least 15 minutes, and p2, the proportion of Beta Airlines flights that were delayed at least 15 minutes. A random sample of 1,000 Alpha flights and a separate random sample of 1,000 Beta flights found that 67 of the Alpha fights and 160 of the Beta flights were delayed at least 15 minutes. The conditions for inference were checked and verified. Does this set of samples provide strong evidence that Alpha Airlines has a smaller proportion of flights that are delayed at least 15 minutes than Beta Airlines, at the α = 0.05 significance level? Find the z-table here. A. The test statistic is z = –6.56 and the P-value ≈ 0. Since the P-value ≈ 0 < 0.05, there is not sufficient evidence that Alpha Airlines has fewer delayed…
A researcher conducts an independent-measures, two factor study with two levels of factor A and two levels of factor B, using a sample of n = 8 participants in each treatment condition. a. What are the df values for the F-ratio evaluating the main effect of factor A? b. What are the df values for the F-ratio evaluating the main effect of factor B? c. What are the df values for the F-ratio evaluating the interaction?
In a randomized controlled trial with two treatment groups, what sample size is necessary to detect a clinically significant difference between the groups with a certain level of statistical power, given the anticipated effect size and the variability in the outcome measure, and how can the trial design be optimized to minimize potential biases and confounding factors?
A nutritionist compared the effectiveness of an online diet program to that of an inperson diet program. After three months, she compared the number of pounds of weight lost. The control group (in-person) lost a mean of 18.00 pounds (s = 14.50, n = 16) and the experimental group (online) lost 16.00 pounds (s = 13.30, n = 21). Use an alpha of .05, a two-tailed test, s2pooled = 191.19, and sM1−M2 = 4.5 to determine if there is a difference between the two programs.
In randomized, double-blind clinical trials of a new vaccine, children were randomly divided into two groups. Subjects in group 1 received the new vaccine while subjects in group 2 received a control vaccine. After the second dose, 116 of 651 subjects in the experimental group (group 1) experienced fever as a side effect. After the second dose, 73 of 532 of the subjects in the control group (group 2) experienced fever as a side effect. Does the evidence suggest that a higher proportion of subjects in group 1 experienced fever as a side effect than subjects in group 2 at the α=0.10 level of significance? #1 Find the test statistic for this hypothesis test.