Type II Error
In hypothesis testing, a type II error is due to a failure of rejecting
an invalid null hypothesis. The probability of avoiding a type II error is
called the power of the hypothesis test, and is denoted by the quantity
1 - β .
In the following tutorials, we demonstrate how to compute the power of a hypothesis test based on scenarios from our previous discussions on hypothesis testing. The approach is based on a parametric estimate of the region where the null hypothesis would not be rejected. The probability of a type II error is then derived based on a hypothetical true value.
- Type II Error in Lower Tail Test of Population Mean with Known Variance
- Type II Error in Upper Tail Test of Population Mean with Known Variance
- Type II Error in Two-Tailed Test of Population Mean with Known Variance
- Type II Error in Lower Tail Test of Population Mean with Unknown Variance
- Type II Error in Upper Tail Test of Population Mean with Unknown Variance
- Type II Error in Two-Tailed Test of Population Mean with Unknown Variance
R Tutorials
- R Introduction
- Elementary Statistics with R
- Qualitative Data
- Quantitative Data
- Numerical Measures
- Probability Distributions
- Interval Estimation
- Hypothesis Testing
- Lower Tail Test of Population Mean with Known Variance
- Upper Tail Test of Population Mean with Known Variance
- Two-Tailed Test of Population Mean with Known Variance
- Lower Tail Test of Population Mean with Unknown Variance
- Upper Tail Test of Population Mean with Unknown Variance
- Two-Tailed Test of Population Mean with Unknown Variance
- Lower Tail Test of Population Proportion
- Upper Tail Test of Population Proportion
- Two-Tailed Test of Population Proportion
- Type II Error
- Type II Error in Lower Tail Test of Population Mean with Known Variance
- Type II Error in Upper Tail Test of Population Mean with Known Variance
- Type II Error in Two-Tailed Test of Population Mean with Known Variance
- Type II Error in Lower Tail Test of Population Mean with Unknown Variance
- Type II Error in Upper Tail Test of Population Mean with Unknown Variance
- Type II Error in Two-Tailed Test of Population Mean with Unknown Variance
- Inference About Two Populations
- Goodness of Fit
- Analysis of Variance
- Non-parametric Methods
- Simple Linear Regression
- Multiple Linear Regression
- Logistic Regression
- GPU Computing with R
Recent Articles
-
January 6, 2013
-
October 28, 2012
-
October 28, 2012
-
July 22, 2012