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 = 263, SSA = 23, SSB = 22,SSAB = 160. Set up the ANOVA table and test for significance using a = 0.05. Show entries to 2 decimals, if necessary. If the answer is zero, enter "0". Use unrounded intermediatevalues for calculation.Sourceof VariationFactor AFactor BInteractionErrorTotalSumof Squares00000The p-value for Factor A isDegreesof Freedom00000- Select your answer -What is your conclusion with respect to Factor A?+- Select your answer -The p-value for Factor B is - Select your answer -What is your conclusion with respect to Factor B?◆- Select your answer -The p-value for the interaction of factors A and B is◆◆MeanSquare0000- Select your answer -What is your conclusion with respect to the interaction of Factors A and B?Select your answer -+F value◆p-value

Two way ANOVA:ANOVA (Analysis of Variance) is a statistical test used to analyze the difference…

Answered: The calculations for a factorial…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 58E: What is meant by the sample space of an experiment?

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What is meant by the sample space of an experiment?
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 = 276, SSA = 23, SSB = 25, SSAB = 170 set up the ANOVA table and test for significance using a = .05. Show 2 decimals, if necessary. P value for Factor A? Factoe B ? Interaction? Thank you
Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA=90, SSB=90, SSE=135, and SST=475. Complete part B b. At the 0.05 level of significance, is there an effect due to factor B? What is the P-Value? What is the conclusion?
Consider a two-way ANOVA with three levels for factor A, three levels for factor B, and four replicates in each of the 9 cells, with SSA=90, SSB=90, SSE=135, and SST=475. Complete parts (a) through (c). A) What is the P-Value? B) At the 0.05 level of significance, is there an effect due to factor A? State the result of this test.
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
A 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 not
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?
An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (a) If a significance level 0.01 and a power of 0.95 are desired, how large a sample per treatment must he study? (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? (c) For this study, suppose that you have funds to recruit 130 patients per group. What is the power for a 5% level test for this sample size? First do the computation by hand and then use SAS to confirm.
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same result
In a controlled laboratory experiment, scientists at the University of Minnesota discovered that 25% of a certain strain of rats subjected to a 20% coffee bean diet and then force-fed a powerful cancer-causing chemical later developed cancerous tumors. Would we have reason to believe that the proportion of rats developing tumors when subjected to this diet has increased if the experiment were repeated and 16 of 48 rats developed tumors? Use a 0.05 level of significance.
An investigator hypothesizes that the improvement rate associated with a placebo is P1 = 0.45, and that the improvement rate associated with an active drug is P2 = 0.65. The plan is to perform a two-tailed test. Use SAS to complete each problem below. (b) How large must the sample size be if the significance level is relaxed to 0.05 and the power to 0.85? Suppose that instead of accruing an equal number of patients on each treatment arm, you allocate 1.5 patients to the new treatment for every patient on standard treatment. What sample size is required on each arm to guarantee 85% power with a level 0.05? How does the sample size computed here compare with the total required sample size in (b)?
A sample of 15 maple trees in Vermont were treated with one of three amounts of fertilizer, Low (group 1), Medium (group 2) and High (group 3). The volume in sap (measured in mL) produced by each tree was recorded, and a Single-Factor ANOVA test was performed, which ended up rejecting . The Summary table and the ANOVA table produced by Excel are given below: SUMMARY Groups Count Sum Average Variance Low 5 398.1 79.62 27.572 Medium 5 477.2 95.44 3.703 High 5 445.1 89.02 11.357 ANOVA Source of Variation SS df MS F Between Groups 633.0813333 2 316.5406667 22.27486395 Within Groups 170.528 12 14.21066667 Total 803.6093333 14 If you follow up the ANOVA test with a FORMAL Fisher's LSD Pairwise Comparison (PWC) test on , then use the information provided in the Excel-generated output to calculate the value of the Test Statistic (TS) that you would use to perform this PWC test. Round off your final answer to the…

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