Question

In: Statistics and Probability

(12 pts) Many of the hypothesis tests we have studied are predicated on requirements to ensure...

  1. (12 pts) Many of the hypothesis tests we have studied are predicated on requirements to ensure that the sample statistic will have a certain sampling distribution. When these requirements are not met, we typically must use some sort of “backup” (nonparametric test). Complete the table below. For each regular/parametric test shown, please list the requirement(s) that must be met for that test, then list the nonparametric backup test that would be used when the requirements are not met.

Regular Test

Requirements

Backup Test

Independent Samples t-Test

Pearson’s Product Moment Correlation Coefficient (PPMC)

Chi-Square Test for Independence

ANOVA

Solutions

Expert Solution

Answer:

Regular Tests Requirements Backup Test
Independent Samples t-Test

1. Parent populations. from which the samples have been drawn are normally distributed.

2. The population variances are equal and unknown.

3. The two samples are random and independent of each other

Mann-Whitney Test
Pearson's Product Moment Correlation Coefficient

1.Two variables should be measured at the interval or ratio level (i.e., they are continuous)

2.There is a linear relationship between the two variables

3.There should be no significant outliers

4.The variables should be approximately normally distributed

Spearman Rank Correlation Test
Chi-Square Test for Independence

1. The sampling method is simple random sampling.

2. The variables under study are each categorical.

3. If sample data are displayed in a contingency table, the expected frequency count for each cell of the table is at least 5.

Fisher's Exact Test
ANOVA

1. Each group sample is drawn from a normally distributed population

2. All populations have a common variance

3. All samples are drawn independently of each other

4. Within each sample, the observations are sampled randomly and independently of each other

5. Factor effects are additive

Kruskal-Wallis Test

Related Solutions

Many of the hypothesis tests we have studied are predicated on requirements to ensure that the...
Many of the hypothesis tests we have studied are predicated on requirements to ensure that the sample statistic will have a certain sampling distribution. When these requirements are not met, we typically must use some sort of “backup” (nonparametric test). Complete the table below. For each regular/parametric test shown, please list the requirement(s) that must be met for that test, then list the nonparametric backup test that would be used when the requirements are not met. Regular Test Requirements Backup...
Many students feel stressed when formal tests are being written, even if they have studied. Describe...
Many students feel stressed when formal tests are being written, even if they have studied. Describe the changes that take place in the body as a result of this stress, and the nervous or hormonal factor causing each change. What suggestions could you offer to overcome these feeling of stress.
We have learned hypothesis tests for the mean (when population variance is known and when it...
We have learned hypothesis tests for the mean (when population variance is known and when it is unknown) for a percentage to see if the means of two sets of data are the same goodness of fit test test for independence For each type give a brief example. You do not have to solve the problem you give. Try to come up with a problem on your own
We have learned hypothesis tests for the mean (when population variance is known and when it...
We have learned hypothesis tests for the mean (when population variance is known and when it is unknown) for a percentage to see if the means of two sets of data are the same goodness of fit test test for independence For each type give a brief example. You do not have to solve the problem you give.
We have studied the following notorious continuous distributions:
We have studied the following notorious continuous distributions: | | | | | -------- | ------- | --------- | ----------------- | ------- | --------- Normal | Beta | Weibull | Exponential | Lognormal | Uniform (continuous) Based on the following scenarios and descriptions, name which distribution would be your "go-to" for modeling the following quantities. * The time left on a 15 second radio ad when you turn on a radio and an ad happens to be on. **Response:** *...
Hypothesis Test: Proportion The university lecturer also wants to ensure that not too many people fail...
Hypothesis Test: Proportion The university lecturer also wants to ensure that not too many people fail their course (obtain a mark less than 45). They decide to test if the proportion failing their course in the new cohort is the same as in the previous cohort. In the previous cohort 6 out of 100 students failed. In the new cohort 0.269 proportion of 130 students failed. Test your hypothesis at the 95% level, what is your p-value? Without conducting further...
In project one we studied the many different factors that were involved in the creation of...
In project one we studied the many different factors that were involved in the creation of the “Great Recession.” So just how serious is this downturn in the economy? What is the exact depth of the impact of this situation on society? These questions we will attempt to answer in the next two projects. For the second project each person will choose a current economic event. The event may be domestic or foreign. All of the events need to be...
we have studied the concept of risk and return - so we know the fundamentals. To...
we have studied the concept of risk and return - so we know the fundamentals. To assume additional risk, investors will require the opportunity to receive additional return. Additionally, some investors by nature are more risk averse than others - this is what drives financial markets. Let's assume that you have just inherited an unexpected large sum of $100,000 for which you have no pressing financial demands and which you decided to invest for 10 years to revisit at that...
Last week we were introduced to hypothesis testing using t and z-tests. This week we extend...
Last week we were introduced to hypothesis testing using t and z-tests. This week we extend that set of tools to two sample tests. However, here we have a greater variety of tests. For the t-test alone there are three variants based on the independence of the groups and whether we can assume variances the same or variances between the groups as different. The variances issue is easy as we can always assume they are different as the test is...
True or False section. When we reject the null hypothesis, we have proven the alternative hypothesis...
True or False section. When we reject the null hypothesis, we have proven the alternative hypothesis to be true. There are only two possible conclusions in a hypothesis test: reject or fail to reject the alternative hypothesis. A Type I error is made when a true null hypothesis is rejected. A Type II error is made when we fail to reject a true null hypothesis. The level of significance is the probability of making a Type II error. The probability...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT