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Synthetic Wood Veneer
Determine whether there is a difference in the durability of three brands of synthetic wood veneer. Adverse Reactions 4
Test whether adverse reaction times differ significantly based on the race of patients. |
Synthetic Wood Veneer: Problem |
An experiment was conducted to investigate the durability of three brands of synthetic wood veneer that is often used in office furniture and on kitchen countertops. Samples of each brand were subjected to a friction test to determine durability. The amount of veneer material that is worn away due to friction was measured. Brands that have small measurements are desireable.
Carry out the Kruskal-Wallis test to see if the data indicate a significant difference in the distributions of wear measurements for the three brands of synthetic wood veneer. |
SAS Institute Inc.
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Synthetic Wood Veneer: Sample Data | |
The Veneer data set contains data about the wear recorded for three brands of synthetic wood veneer after they were subjected to a friction test. These are the variables in the data set: Name | Type | Description | | Wear | num | measurement of wear | | Brand | char | brand of wood veneer | |
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Source of Data
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This data is sample data from SAS Institute Inc. |
Synthetic Wood Veneer: Solution |
You’re testing the following hypotheses:
Ho: the distributions of wear measurements
for the three brands are all equal
versus the two-sided alternative
Ha: the distributions of wear measurements
for the three brands are not all equal
The Kruskal-Wallis test statistic is K = 7.2558, with a p-value of 0.0266. The outcome is significant at a level α = 0.05, so you have enough evidence to reject the null hypothesis at this level.
Thus, you can conclude that the distributions of wear measurements for the three brands of synthetic wood veneer are not all equal (that is, there is a significant difference in durability between the brands). |
Adverse Reactions 4: Problem |
The manufacturers of a medication were concerned about adverse reactions in patients that were treated with their drug. Data on adverse reactions was gathered and stored in a file. The duration of the adverse reaction was recorded as the dependent variable.
Patients were either given a placebo or received the standard drug regimen. Test whether there is a difference in adverse reaction times based on the race of patients using the k-sample Kruskal-Wallis test. Use a significance level of α = 0.01. ~nl~ |
Lee Creighton (modified by Paris Faison)
SAS Institute Inc.
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Adverse Reactions 4: Sample Data | |
The Adverser data set contains information on patients and their adverse reactions to a drug treatment. These are the variables in the data set: Name | Type | Description | | PATIENT_ID | num | patient identification number | | TREATMENT_GROUP | char | treatment patient received (placebo or standard drug) | | TOTAL_DAILY_DOSE | num | daily dosage | | DAY_ON_DRUG | num | number of days patient was on treatment | | AGE | num | age | | SEX | char | sex | | WEIGHT | num | weight | | ADVERSE_REACTION | char | type of adverse reaction | | RACE | char | race | | ADR_SEVERITY | char | level of severity of adverse reaction | | RELATION_TO_DRUG | char | relation of adverse reaction to drug | | ADR_DURATION | char | duration of adverse reaction | |
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Source of Data
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Sall, J., Creighton, L., & Lehman, A. (2006). JMP Start Statistics, Third Edition. Cary, NC: SAS Institute Inc. |
Adverse Reactions 4: Solution |
The NPAR1WAY procedure in SAS yields a p-value < 0.001, which is significant at the α = 0.01 level. Therefore, we can conclude that there is enough evidence to support the claim that there is a difference in adverse reaction times based on races. |
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