Solution :
From give ANOVA table,
MSB = SSB / df = 770.76 / 2 = 385.38
MSA = SSA / df = 12351.18 / 1 = 12351.18
MSAB = SSAB / df = 55.10 / 2 = 27.55
MSE = 693.74 / 12 = 57.8117
F factor B = MSB / MSE = 385.38 / 57.81 = 6.6661
F factor A = MSA / MSE = 12351.18 / 57.8117 = 213.6445
interaction = MSAB / MSE = 27.55 / 57.8117 = 0.4765
CH13 Q9 A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following ANOVA table. a. 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.) ANOVA Source of Variation SS df MS F p-value Sample 776.84 2 MSB = F Factor B = 0.010 Columns 12,425.44 1 MSA = F Factor A = 4.57E-09 Interaction 56.25 2...
CH13 Q5 The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Factor A X for Factor B 2.500 8.000 13.750 Factor B 15 9.667 13 8.000 16 8.333 Xi for Factor A 6.000 X 8.083 a. Calculate SST, SSA, SSB, and SSE. (Round intermediate calculations to at least 4 decimal places. Round your answers to 2 decimal places.) SST SSA SSB SSE b. Calculate MSA, MSB, and MSE. (Round intermediate calculations to at least 4...
9 A researcher conducts a two-way ANOVA t with interaction and provides the following ANOVA table a. Find the missing values in the ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "MS" to 4 decimal places and " places.) to 3 decimal 12233 b. At the 5% significance level, can you conclude that there is an interaction effect? es since the p-nlue for interection is grester ha he signiscance No-since he puue for inneracion is greoter...
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"...
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...
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...
CH13 Q2 a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round intermediate calculations to at least 4 decimal places. Round "SS" to 2 decimal places, "MS" to 4 decimal places, and "F' to 3 decimal places.) ANOVA Source of Variation Between Groups Within Groups Total df MS p-value 0.018 0.00 0
CH13 Q10 A consumer advocate examines whether the longevity of car batteries (measured in years) is affected by the brand name (factor A) and whether or not the car is kept in a garage (factor B). Interaction is suspected. The results are shown in the accompanying table Brand Name of Batter Kept in Garage? Yes No 7, 8, 6 7, 6, 7 9, 7, 10 7, 7, 6 5, 4, 5 6, 6, 6 he a-1. Construct an ANOVA table....
7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns) and two levels of Factor B (rows), with 10 people in each group!!!!! df MS Source col row interaction 12 720 within total a. dfcol b. dfrow c. dfva d. dfw e. dfptal f. MSw g. MSco h. SSool i. MSrow j. SSow k. SSva 1470 I. MSia m. Fia 7. Finish the following two-way ANOVA table. There are four levels of Factor A (columns)...