The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

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Answer 1

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

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Parametric tests (such as t-tests or ANOVAs) differ from nonparametric tests (such as chi-square) primarily in terms of the assumptions they require and the data they use. Explain these differences.

Answer 2

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

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Answer 3

Question

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 4

Question

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Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

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Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Answer 5

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Answer 6

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Answer 7

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

Answer 8

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.

Answer 9

Chapter 15, Problem 1P

To determine

To find: The difference between Parametric and Non-parametric test primarily in terms of assumptions and data.

Answer 10

Expert Solution & Answer

Explanation of Solution

In a nonparametric test data is not required to fit a normal distribution, in-fact, it assumes that the data does not follow any specific distribution. Whereas in case of parametric test, the data follows a normal distribution.

The information about population parameter is not available in nonparametric test.

Non-parametric test uses data that is often ordinal, meaning it does not rely on numbers, but rather a ranking or order of sorts. Parametric test uses data which is interval or ratio.

The nonparametric test is mainly based on differences in medians. Hence, it is alternately known as the distribution-free test. Whereas, parametric test uses mean as a measure of central tendency.