In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug...
In testing a new drug, we obtained the following results:
| Placebo | Drug A | Drug B | Drug C |
|---|---|---|---|
| 3 | 3 | 6 | 7 |
| 0 | 2 | 3 | 6 |
| 2 | 0 | 4 | 5 |
| 0 | 0 | 3 | 4 |
| 0 | 0 | 4 |
Run the ANOVA and fill in the summary table with the results obtained:
| SS | df | MS | F-ratio | p-value | |
| Between | 3 | ||||
|---|---|---|---|---|---|
| Within | 16 | ||||
| TOTAL |
(Report P-value & F-ratio accurate to 3 decimal places and all other values accurate to 2 decimal places.)
What conclusion can be drawn at the 0.01 significance level?
A) The various drugs have results that are statistically different.
B)The various drugs do not have results that are statistically different.
Homework Answers
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In testing a new drug, we obtained the following results:
Placebo
Drug A
Drug B
Drug...
In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug...
In testing a new drug, we obtained the following results: Placebo Drug A Drug B Drug C 3 3 6 7 0 2 3 6 2 0 4 5 0 0 3 4 0 0 4 3 Run the ANOVA and fill in the summary table with the results obtained: SS df MS F-ratio p-value Between 3 0.000 Within 16 TOTAL
CH13 Q2 a. Given the following information obtained from four normally distributed populations, construct an ANOVA...
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
The following output summarizes a portion of the results for a two-way analysis of variance experiment...
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...
a. Given the following information obtained from three normally distributed populations, construct an ANOVA table. (Round...
a. Given the following information obtained from three 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 "P' to 3 decimal places.) SSTR = 220.7; SSE = 2,252.2; c = 3; ni = n2 = n3 = 8 ANOVA Source of Variation SS df MS F p-value Between Groups 0.375 Within Groups 0.00 0 Total b. At the 1% significance level,...
The following table summarizes a portion of the results for a two-way analysis of variance experiment...
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
CH13 Q6 The following output summarizes a portion of the results for a two-way analysis of...
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 Q5 The following observations were obtained when conducting a two-way ANOVA experiment with no interaction....
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...
You can assume that the data followed all three assumptions for ANOVA analysis, namely, independence, equal...
You can assume that the data followed all three assumptions for ANOVA analysis, namely, independence, equal variance, and normality. Placebo Dose2 Dose5 4.3 3.7 1.3 9.1 3.5 1 6.1 5.2 0.7 4.7 9.3 1.2 4.1 6.7 1.3 7.8 5.2 1.6 5.7 4.1 2.4 5.8 5.3 1.9 Here is my ANOVA table SUMMARY Groups Count Mean Std Dev Placebo 8 5.95 1.74 Dose2 8 5.375 1.90 Dose5 8 1.425 0.53 Results Source of Variation SS df MS F P-value Between 97.41...
a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. (Round...
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.) SST = 78.95; SSTR = 18. 16; C = 4; n1 = n2 = n3 = n4 = 15 df ANOVA Source of Variation Between Groups Within Groups Total p-value 0.002 b. At the 10% significance level, what is...
Exercise 13-45 Algo A researcher conducts a two-way ANOVA test with interaction and provides the following...
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 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
a. Given the following information obtained from three 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 "P' to 3 decimal places.) SSTR = 220.7; SSE = 2,252.2; c = 3; ni = n2 = n3 = 8 ANOVA Source of Variation SS df MS F p-value Between Groups 0.375 Within Groups 0.00 0 Total b. At the 1% significance level,...
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 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...
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.) SST = 78.95; SSTR = 18. 16; C = 4; n1 = n2 = n3 = n4 = 15 df ANOVA Source of Variation Between Groups Within Groups Total p-value 0.002 b. At the 10% significance level, what is...
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