what are the degrees of freedom for error in ANOVA if factor A has 2 levels,...
what are the degrees of freedom for error in ANOVA if factor A has 2 levels, factor b has 4 levels, factor C has 2 levels. completely randomized full factorial design with 3 replicates. And, what is the df for total
Homework Answers
Here We have three factors and
three replicates =3
df for replicates = 3-1=2
a=2
b=4
c=3
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what are the degrees of freedom for error in ANOVA if factor A
has 2 levels,...
In a completely randomized design for ANOVA, the number of degrees of freedom for the numerator...
In a completely randomized design for ANOVA, the number of degrees of freedom for the numerator and denominator are 3 and 16, respectively. The total number of observations must equal: a. 24 b. 20 c. 19 d. 32 e. 48
For Problems 9 and 10: In a three-factor experiment suppose that factor A has 3 levels,...
For Problems 9 and 10: In a three-factor experiment suppose that factor A has 3 levels, factor B has 2 levels, and factor C has 3 levels. Also, for each of the combination of levels of the factors, 3 observations were measured. The researcher fitted the full model with main effects, all two-factor interactions, and all three-factor interactions. 9. How many possible treatments are there? A. 8 B. 11 C. 18 D. 54 10. If all treatments were applied, what...
3.38 A single-factor completely randomized design has four levels of the factor. There are three replicates...
3.38 A single-factor completely randomized design has four levels of the factor. There are three replicates and the total sum of squares is 330.56. The treatment sum of squares is 250.65. (a) What is the estimate of the error variance σ (b) What proportion of the variability in the response vari- able is explained by the treatment effect?
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...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three repl...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted the following data: SST 291, SSA 26, SSB 25, SSAB 180. =.05, Show entries to 2 decimals, If necessary Set up the ANOVA table and test for significance using the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value X X Factor A Factor B Interaction 24 Error 35 Total...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
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=294, SSA=24, SSB=26, SSAB=185. Set up the ANOVA table and test for significance using a= .05. Show entries to 2 decimals, if necessary. If the answer is zero enter “0”. Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value Factor A Factor B Interaction Error Total
Consider a four-factor factorial experiment where factor A is at a levels, factor B is at...
Consider a four-factor factorial experiment where factor A is at a levels, factor B is at b levels, factor C is at c levels, factor D is at d levels, and there are n replicates. Write down the sums of squares, the degrees of freedom, and the expected mean squares for the following cases. Assume the restricted model for all mixed models. (a) A is fixed and B, C, and D are random. (b) A and B are fixed and...
Consider a four-factor factorial experiment where factor A is at a levels, factor B is at...
Consider a four-factor factorial experiment where factor A is at a levels, factor B is at b levels, factor C is at c levels, factor D is at d levels, and there are n replicates. Write down the sums of squares, the degrees of freedom, and the expected mean squares for the following cases. Assume the restricted model for all mixed models. You may use a computer package such as Minitab. (d) A and B are fixed and C and...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor...
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 278, SSA 21, SSB = 24, SSAB = 180. a. set up the ANOVA table and test for significance using ?-.05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "O". Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A...
In the FIRST step of a repeated-measures ANOVA, total degrees of freedom is broken down into:...
In the FIRST step of a repeated-measures ANOVA, total degrees of freedom is broken down into: a. within treatments df and between subjects df b. error df and between subjects df c. between groups df and between subjects df d. between groups df and within groups df
3.38 A single-factor completely randomized design has four levels of the factor. There are three replicates and the total sum of squares is 330.56. The treatment sum of squares is 250.65. (a) What is the estimate of the error variance σ (b) What proportion of the variability in the response vari- able is explained by the treatment effect?
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...
The calculations for a factorial experiment involving four levels of factor A, three levels of factor B, and three replications resulted the following data: SST 291, SSA 26, SSB 25, SSAB 180. =.05, Show entries to 2 decimals, If necessary Set up the ANOVA table and test for significance using the answer is zero enter "0". Source of Variation Sum of Squares Degrees of Freedom Mean Square F p-value X X Factor A Factor B Interaction 24 Error 35 Total...
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 278, SSA 21, SSB = 24, SSAB = 180. a. set up the ANOVA table and test for significance using ?-.05. Show entries to 2 decimals, if necessary. Round p-value to four decimal places. If your answer is zero enter "O". Source of Variation Sum of Squares Degrees of Freedom Mean Square Factor A...
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