Answer True or False to the following: - If we were comparing the time it takes...
Answer True or False to the following:
- If we were comparing the time it takes for a headache to subside to a certain level for six different dosages of the same medication using a one-way ANOVA procedure, then this problem has six levels and one factor.
- In a one-way ANOVA, the entity on which a response variable is measured is called the level unit.
- One assumption for the one-way ANOVA procedure is that the samples are independent of each other.
- The one-way ANOVA procedure is a statistical procedure used to determine whether we can reject the null hypothesis of equal population means.
- When performing a one-way ANOVA, the alternative hypothesis states that all of the sample means are different.
- When performing a one-way ANOVA, the alternative hypothesis states that at least one of the population means is different from the rest.
Homework Answers
Answer: (1)- (True)
If we were comparing the time it takes for a headache to subside to a certain level for six different dosages of the same medication using a one-way ANOVA procedure, then this problem has six levels and one factor.
Explanation: Here desires to know time of headache for the different dosage of medication. The variable of interest is therefore time takes for headache as measured by a scale.The factor being studied is headache medication. There is just one factor and hence a situation appropriate for one-way ANOVA. Further Dosages there have been classified into six groups (levels):These three groups are the levels .
Answer: (2)- (True)
-In a one-way ANOVA, the entity on which a response variable is measured is called the level unit.
Explanation: Resonse variable is the output variable of the anova analysis somtimes it is called dependent variable which is always measured at the interval or ratio level unit. e.g. time measured in hours, intelligence measured in term of iq score . they all refer as level unit.
Answer: (3)- (True)
One assumption for the one-way ANOVA procedure is that the samples are independent of each other.
Explanation: one-way ANOVA have independence of observations, which means that there is no relationship between the observations in each group or between the groups themselves. i.e sample are independent.
Answer: (4)- (True)
The one-way ANOVA procedure is a statistical procedure used to determine whether we can reject the null hypothesis of equal population means.
Explanation: one-way ANOVA is used to determine whether there are any statistically significant differences between the means of two or more independent groups(population) . in other words it can be say by this we reject the null hypothesis of equal means.
Answer: (5)- (False)
When performing a one-way ANOVA, the alternative hypothesis states that all of the sample means are different.
Explanation: In the one way anova the alternative hypothesis states that atleast one sample mean is different.
Answer: (6)- (True)
When performing a one-way ANOVA, the alternative hypothesis states that at least one of the population means is different from the rest.
Explanation: In the one way anova the alternative hypothesis states that atleast one sample mean is different from the rest.
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