Author Question: What is an operating characteristic curve and how is it related to the power curve for a ... (Read 149 times)

dejastew

  • Hero Member
  • *****
  • Posts: 562
What is an operating characteristic curve and how is it related to the power curve for a test?

Question 2

What is a power curve and how is it applicable to hypothesis testing?



mceravolo

  • Sr. Member
  • ****
  • Posts: 349
Answer to Question 1

The operating characteristic (OC) curve plots the probability that the hypothesis test will not reject the null hypothesis for assumed values for the population mean. The OC curve is the complement of the power curve. It is found by plotting  (on the vertical axis) versus the population mean (on the horizontal axis).

Answer to Question 2

The power of a test is the probability that the test will respond correctly by rejecting a false null hypothesis. By calculating the power of the test (1 - ) for several assumed values for the population mean and plotting the power (on the vertical axis) versus the population mean (on the horizontal axis), we arrive at the power curve. By looking at the power curve, we can get an idea of how powerful the hypothesis test is for different possible values of the population mean.



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

dejastew

  • Hero Member
  • *****
  • Posts: 562

mceravolo

  • Sr. Member
  • ****
  • Posts: 349

 

Did you know?

Today, nearly 8 out of 10 pregnant women living with HIV (about 1.1 million), receive antiretrovirals.

Did you know?

Atropine was named after the Greek goddess Atropos, the oldest and ugliest of the three sisters known as the Fates, who controlled the destiny of men.

Did you know?

Vaccines prevent between 2.5 and 4 million deaths every year.

Did you know?

In inpatient settings, adverse drug events account for an estimated one in three of all hospital adverse events. They affect approximately 2 million hospital stays every year, and prolong hospital stays by between one and five days.

Did you know?

Cutaneous mucormycosis is a rare fungal infection that has been fatal in at least 29% of cases, and in as many as 83% of cases, depending on the patient's health prior to infection. It has occurred often after natural disasters such as tornados, and early treatment is essential.

For a complete list of videos, visit our video library