Question

2. What is the size of a test? What is the power of a test?

2. What is the size of a test? What is the power of a test?

Homework Answers

Answer #1

Solution:

What is the size of a test?

The size of the test is the probability of committing type I error. i.e. The probability of rejecting the null hypothesis when it is true.

In testing of hypothesis theory , there are two types of errors:

Type I error: Rejecting the null hypothesis when it is true.

Type II error : Fail to reject the null hypothesis when it is False

The size of the test is also known as "Significance level".

It is denoted by a Greek letter .

What is the power of a test?

"Rejecting the Null hypothesis when it is False" is the correct decision.

The power of test is the probability of "Rejecting the Null hypothesis when it is False"

The power of the test is given by

power = 1 -P(Fail to reject the null hypothesis when it is False)

= 1 - P(Type II error)

= 1 -

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
What is the approximate power associated with a sample size of 61 when used to detect...
What is the approximate power associated with a sample size of 61 when used to detect a population correlationthat is equal to .04 with a .01, one tailed test? .13 .22 .78 .87
What is the approximate power associated with a sample size of 61 when used to detect...
What is the approximate power associated with a sample size of 61 when used to detect a population correlationthat is equal to .04 with a .01, one tailed test? .13 .22 .78 .87
Which of the following is correct about the power of the test? Check all that apply....
Which of the following is correct about the power of the test? Check all that apply. a. As alpha increases, power decreases. b. As standard error decreases, power increases. c. As Type I error increases, power increases. d. As effect size increases, power increases. e. As sample size increases, power increases. f. As sample size increases, power is unaffected. g. As Type II error decreases, power decreases.
The easiest way to affect the outcome of a hypothesis test is to increase sample size....
The easiest way to affect the outcome of a hypothesis test is to increase sample size. Similarly, true results may sometimes be missed because a sufficient sample was not used in the research. Perform the hypothesis test on these data with a sample of 37. Then perform the same hypothesis test but assume that the mean was based on only 4 infants. The easiest way to increase statistical power is to increase sample size. Similarly, statistical power decreases with a...
Power and sample size determination for one-way ANOVA 1. If µ1 = 12, µ2 = 13,...
Power and sample size determination for one-way ANOVA 1. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test when n1 = 2, n2 = 3, n3 = 3 and n4 = 2 and a = .05? 2. If µ1 = 12, µ2 = 13, µ3 = 18 and µ4 = 21 with s e = 5, what is the power of the test...
Several factors influence statistical power for a one-sample t test. How does statistical power change (increase...
Several factors influence statistical power for a one-sample t test. How does statistical power change (increase or decrease) for each of the following changes? When d (effect size) increases. When N (sample size) increases. When the alpha level is made smaller. Explain your answer. For example, if we know ahead of time that the effect size d is very small, what does this tell us about the N we will need in order to have adequate statistical power? (We assume...
If the probability of a type II error in a hypothesis test is 0.07, what is...
If the probability of a type II error in a hypothesis test is 0.07, what is the power of the hypothesis test? Assuming your sample is unbiased, would increasing the size of the sample increase or decrease the power of the hypothesis test? Please explain your answer.
A three-phase industrial load consists of 136 kW at 0.8 power factor lagging. What size capacitor...
A three-phase industrial load consists of 136 kW at 0.8 power factor lagging. What size capacitor bank is required to correct the power factor to 0.95 lagging
What effect does increasing sample size have on power, beta, and alpha? For each, state why.
What effect does increasing sample size have on power, beta, and alpha? For each, state why.
Describe the relationships between power, effect size, and sample size. How do researchers usually increase their...
Describe the relationships between power, effect size, and sample size. How do researchers usually increase their sample size.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT