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3. Consider the two-factor model with interaction Suppose that there are a and b levels of...
Consider a factorial design model with 2 levels of Factor A, 3 levels of Factor B,...
Consider a factorial design model with 2 levels of Factor A, 3 levels of Factor B, and 2 observations at each combination of factor levels. Write this model in matrix notation as Y = X8+ €. Compute the matrices X'X and X'Y and use them to derive the least-squares estimators of all appropriate parameters from the normal equations XXB = X'Y Note: Do not write the matrices for a general factorial design model. Consider the particular factorial design described here.
4. Consider a design with factors A and B, under which there are a levels for...
4. Consider a design with factors A and B, under which there are a levels for factor A, b levels for factor B, and n replicates for each combination of levels of factors A and B. Suppose that factors A and B both have fixed effects. Write down the linear model, and calculate the expecta- tions oI MSA, VMSB and MSAlB
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A...
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
3. Consider a two-factor factorial design with three levels in factor A, four levels in factor B, and four replicates i...
3. Consider a two-factor factorial design with three levels in factor A, four levels in factor B, and four replicates in each of the 12 cells. Complete parts (a) through (d). a. How many degrees of freedom are there in determining the factor A variation and the factor B variation? There is/are degree(s) of freedom in determining the factor A variation. (Simplify your answer.) There is/are degree(s) of freedom in determining the factor B variation. (Simplify your answer.) b. How...
Saved Help Consider the following partially completed two-way ANOVA table. Suppose there are 5 levels of...
Saved Help Consider the following partially completed two-way ANOVA table. Suppose there are 5 levels of Factor A and 4 levels of Factor B. The number of replications per cellis 3. Use the 0.01 significance level. (Hint: estimate the values from the Ftable.) 1. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) Source MSF Factor A Factor B Interaction 2. Find the critical values to test for equal means. (Round your answers to 2 decimal places.) Critical...
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model includi...
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model including A and B main effects and AB interaction effects. The second one is from a model including B main effects and AB interaction effects but no A main effects Sequential sum of squares ANOVA table with A, B and AB terms. Analysis of Variance Source...
Complete the following ANOVA summary table for a model, where there are three levels of factor A selected by the researcher and two levels of factor B selected at random. Each cell of the design inclu...
Complete the following ANOVA summary table for a model, where there are three levels of factor A selected by the researcher and two levels of factor B selected at random. Each cell of the design includes 40 students (α = .05). In statistical language (symbols) what are the most appropriate null and alternative hypothesis for each factor (effect) for the model? SS DF MS F Critical Value Decision A 2000 B 1000 AB 3000 Within 1755 Total 7755
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for fa...
1. Fill out the following ANOVA table for the two-way ANOVA model. This table comes from a data set with 4 levels for factor A, 3 levels for factor B, and 14 values in each group. (Round your answer for F to two decimal places, your answers for SS and MS to one decimal place, and the p-value to three decimal places. Do not round any numbers until the final input into the answer box.) Analysis of Variance Source DF...
Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta...
Consider the following multifactor (APT) model of security returns for a particular stock. Factor Factor Beta Factor Risk Premium Inflation 1.7 5 % Industrial production 1.3 8 Oil prices 0.8 2 a. If T-bills currently offer a 8% yield, find the expected rate of return on this stock if the market views the stock as fairly priced. (Do not round intermediate calculations. Round your answer to 1 decimal place.) b. Suppose that the market expects the values for the three...
Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Ba...
Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A...
Consider a factorial design model with 2 levels of Factor A, 3 levels of Factor B, and 2 observations at each combination of factor levels. Write this model in matrix notation as Y = X8+ €. Compute the matrices X'X and X'Y and use them to derive the least-squares estimators of all appropriate parameters from the normal equations XXB = X'Y Note: Do not write the matrices for a general factorial design model. Consider the particular factorial design described here.
4. Consider a design with factors A and B, under which there are a levels for factor A, b levels for factor B, and n replicates for each combination of levels of factors A and B. Suppose that factors A and B both have fixed effects. Write down the linear model, and calculate the expecta- tions oI MSA, VMSB and MSAlB
Consider the following partially completed two-way ANOVA table. Suppose there are four levels of Factor A and two levels of Factor B. The number of replications per cell is 4. Use the 0.01 significance level. (Hint: Estimate the values from the Ftable.) a. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) ANOVA SS df MS F Source Factor A 70 3 1.40 Factor B 50 11 23.33 50.00 70.00 3.00 Interaction 210 3 4.20 Error 24 16.67...
3. Consider a two-factor factorial design with three levels in factor A, four levels in factor B, and four replicates in each of the 12 cells. Complete parts (a) through (d). a. How many degrees of freedom are there in determining the factor A variation and the factor B variation? There is/are degree(s) of freedom in determining the factor A variation. (Simplify your answer.) There is/are degree(s) of freedom in determining the factor B variation. (Simplify your answer.) b. How...
Saved Help Consider the following partially completed two-way ANOVA table. Suppose there are 5 levels of Factor A and 4 levels of Factor B. The number of replications per cellis 3. Use the 0.01 significance level. (Hint: estimate the values from the Ftable.) 1. Complete an ANOVA table. (Round MS and Fto 2 decimal places.) Source MSF Factor A Factor B Interaction 2. Find the critical values to test for equal means. (Round your answers to 2 decimal places.) Critical...
A sociologist classified 45 faculty members by subject matter of course (factor A with 4 levels) and highest degree earned (factor B with 3 levels) The first ANOVA table below is from a model including A and B main effects and AB interaction effects. The second one is from a model including B main effects and AB interaction effects but no A main effects Sequential sum of squares ANOVA table with A, B and AB terms. Analysis of Variance Source...
Consider the following data for a two-factor experiment as shown to the right. Complete parts a through c Factor A Level1 Le Level 3 34 31 34 25 Level 2 34 27 21 Level 1 45 Factor B 31 27 25 19 b. Based on the sample data, can you conclude that the levels of factor A have equal means? Test using a significance eve o o.05 Choose the correct hypotheses below. HA: At least two levels of factor A...
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