using excel data analysis tool for two way anova without replication
Anova: Two-Factor Without Replication | ||||||
SUMMARY | Count | Sum | Average | Variance | ||
factor B 1 | 4 | 10 | 2.500 | 3.000 | ||
2 | 4 | 32 | 8.000 | 2.000 | ||
3 | 4 | 55 | 13.750 | 4.917 | ||
Factor A 1 | 3 | 29 | 9.667 | 25.333 | ||
2 | 3 | 19 | 6.333 | 20.333 | ||
3 | 3 | 24 | 8.000 | 31.000 | ||
4 | 3 | 25 | 8.333 | 56.333 | ||
ANOVA | ||||||
Source of Variation | SS | df | MS | F | P-value | F crit |
Rows | 253.17 | 2 | 126.58 | 59.182 | 0.000 | 5.14325285 |
Columns | 16.92 | 3 | 5.64 | 2.636 | 0.144 | 4.757062663 |
Error | 12.83 | 6 | 2.14 | |||
Total | 282.92 | 11 |
a) using above table
SST = 282.92
SSA=16.92
SSB=253.17
SSE=12.83
b) MSA=5.64
MSB=126.58
MSE=2.14
c)
ANOVA | |||||
Source of Variation | SS | df | MS | F | P-value |
Rows | 253.17 | 2 | 126.583 | 59.182 | 0.000 |
Columns | 16.92 | 3 | 5.639 | 2.636 | 0.144 |
Error | 12.83 | 6 | 2.139 | ||
Total | 282.92 | 11 |
CH13 Q5 The following observations were obtained when conducting a two-way ANOVA experiment with no interaction....
(Round all intermediate calculations to at least 4 decimal places.) The following observations were obtained when conducting a two-way ANOVA experiment with no interaction. Use Table 4 lick here for the Excel Data File Factor A Factor B 4 4 6 J for Factor B 2.750 6.000 9.250 X 6.000 2 2 8 5.333 10 6.000 X, for Factor A 6.000 6.667 a. Calculate SST, SSA, SSB, and SSE. (Round your answers to 2 decimal places.) SST SSA SSB SSE...
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 Q9 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 Sample Columns df MS 770.76 12,351.18 55.10 693.74 13,870.78 F Factor B- F Factor A F Interaction- 2 MSB 1MSA- Within 12 MSE- 17 Total
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 13-45 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...
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...
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
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 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....