Consider a two-way analysis of variance experiment with treatment factors A and B. The results are summarized below.
| Source of Variation | df | SS |
| Factor A | 4 | 86 |
| Factor B | 5 | 75 |
| Interaction | 20 | 75 |
| Error | 90 | 300 |
| Total | 119 | 536 |
What are the levels of factor A and factor B?
Ans:
df(factor A)=4
So,number of levels for factor A=4+1=5
df(factor B)=5
So,number of levels for factor B=5+1=6
Consider a two-way analysis of variance experiment with treatment factors A and B. The results are...
The following table summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F" to 3 decimal places.) source of Variation SS df MS F p-value rows 34.63 2 MSB= factor B= 0.042 columns 146.60 3 MSA= Factor A= 0.003 error 18.56 6 MSE= total 199.79 11
The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor Aconsists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal...
1. The analysis of variance of a completely randomized, two-factor experiment led to the following results. SS Source of Variation Factor A Factor B Interaction Error Total 64.13333 3328.133 2520.933 417.6 6330.8 MS 32.0667 1664.07 630.233 11.6 2.764368 143.454 54.33046 1.1. Interpret these results, discussing what factors have a significant effect on the response variable. Use a significance level of 0.05. (5 points)
CH13 Q8
A two-way analysis of variance experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. The results include the following sum of squares terms: SST 1548 SSA 1022 SSB 390 SSAB 26 a. Construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and "F' to 3 decimal places.) Answer is not complete. ANOVA...
CH13 Q6
The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor A consists of five different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS"...
Exercise 13-37 Algo The following output summarizes a portion of the results for a two-way analysis of variance experiment with no interaction. Factor Aconsists of four different kinds of organic fertilizers, factor B consists of three different kinds of soil acidity levels, and the variable measured is the height (in inches) of a plant at the end of four weeks. a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS"...
The following table shows the results of a two-factor ANOVA evaluating an independent-measures experiment with three levels of factor A, three levels of factor B, and n = 10 participants in each treatment condition. a. What is the calculated F value for the interaction? Source SS df MS Between Treatments 124 Factor A 20 10 F A= Factor B 42 F B= A*B 20 F A*B=? Within Treatments 324 Total 1. F=13 2. F=5 3. F=2.5 4. F =...
The following table shows the results of a repeated-measures analysis of variance comparing two treatment conditions with a sample of n = 12 participants. Note that several values are missing in the table. Fill in the missing values in the ANOVA table. What is the missing value for SStotal? Source SS df MS Between __ __ 12 F = 4.00 Within __ __ Bet. Sub. 35 __ Error __ __ __ Total __ __
The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment. Note thatseveral values are missing in the table. What is the missing value for the F-ratio?Source SS df MSBetween xx xx 14 F = xxWithin xx xx xxTotal 154 xxa. 14b. 28c. 7d. 2
The following table shows the results of an analysis of variance comparing three treatment conditions with a sample of n = 7 participants in each treatment. Note thatseveral values are missing in the table. What is the missing value for SStotal?a. 16 Source SS df MSb. 23 Between 20 xx xx F = xxc. 29 Within xx xx 2d. 56 Total xx xx