A pharmaceutical company wishes to evaluate the effect of the amount of starch on the hardness of the tablets it produces. It was decided to produce samples of tablets with a certain minimum amount of starch, 2%, 5% and 10%. The data obtained by replicating the experiment five times are shown in the following table. e) Use Fisher's test with a σ = 0.05, to evaluate the differences between the mean factor responses. f) Construct a simple linear regression model for the response variable of the experiment. g) Plot the residuals (errors) against the factor levels. Do you think the assumption of the constant variance model is satisfied? Interpret the graph. Apply Barlett's test for validation. h) Graphically validate the fulfillment of the independence of the residuals. Interpret. Apply the Durbin-Watson test for validation. i) Graphically validate the fulfillment of the normality of the residuals. Interpret. Apply the kolmogorov test for validation.
A pharmaceutical company wishes to evaluate the effect of the amount of starch on the hardness of the tablets it produces. It was decided to produce samples of tablets with a certain minimum amount of starch, 2%, 5% and 10%. The data obtained by replicating the experiment five times are shown in the following table.
e) Use Fisher's test with a σ = 0.05, to evaluate the differences between the mean factor responses.
f) Construct a simple linear regression model for the response variable of the experiment.
g) Plot the residuals (errors) against the factor levels. Do you think the assumption of the constant variance model is satisfied? Interpret the graph.
Apply Barlett's test for validation.
h) Graphically validate the fulfillment of the independence of the residuals. Interpret. Apply the Durbin-Watson test for validation.
i) Graphically validate the fulfillment of the normality of the residuals. Interpret. Apply the kolmogorov test for validation.
Given Information:
Consider the given dataset:
| Percentage of starch | Hardness | ||||
| 2 | 4.3 | 4 | 4.8 | 4.6 | 5.1 |
| 5 | 6.5 | 7.3 | 7 | 6.4 | 6.8 |
| 10 | 9 | 7.9 | 8.5 | 8.3 | 8.9 |
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