Likelihood interval for variance ratio of two samples assuming normal distribution. Likelihood function plot is also shown. For faster calculation speed, plot option '0' is recommended. Sample size is not allocated.

Currently used CI method has its limitation when the test statistics are asymmetrical (chi-square test, F-test) or the model functions are non-linear. It can be overcome by using the likelihood functions for the interval estimation. 'inteli' package now supports interval estimation for the mean, variance, variance ratio, binomial distribution, Poisson distribution, odds ratio, risk difference, relative risk and their likelihood function plots. Testing functions are also provided.

Kim Minkyu

inteli

Interval Estimation by Likelihood Method

Minkyu Kim

Kyun-Seop Bae

lir function

<dl> <dt>num.data</dt>
<dd>a numeric vector of data values, variance value at the numerator position; mandatory</dd> <dt>denom.data</dt>
<dd>a numeric vector of data values, variance value at the denominator position; mandatory</dd> <dt>plot</dt>
<dd>likelihood function plots by LI; default is "all". 'OBJ', 'O1', '1' is objective function plot; 'OFV', 'O2', '2' is log likelihood function plot; 'LRT', 'O3', '3' is log LRT function plot.</dd> <dt>conf.level</dt>
<dd>confidence level for the interval estimation</dd> <dt>df</dt>
<dd>degree of freedom for likelihood interval; default is 2.4</dd> <dt>k</dt>
<dd>cutoff value for likelihood interval. If not specified, F-test is used.</dd></dl>

Arguments

Kyun-Seop Bae &lt;k@acr.kr&gt;, Minkyu Kim &lt;mkim@acr.kr&gt;

Author

Likelihood Interval for Variance Ratio of Two Samples from Normal Distribution — lir

<dl>

 <dt>num.data</dt>
<dd>a numeric vector of data values, variance value at the numerator position; mandatory</dd>

 <dt>denom.data</dt>
<dd>a numeric vector of data values, variance value at the denominator position; mandatory</dd>

 <dt>plot</dt>
<dd>likelihood function plots by LI; default is "all". 'OBJ', 'O1', '1' is objective function plot; 'OFV', 'O2', '2' is log likelihood function plot; 'LRT', 'O3', '3' is log LRT function plot.</dd>

 <dt>conf.level</dt>
<dd>confidence level for the interval estimation</dd>

 <dt>df</dt>
<dd>degree of freedom for likelihood interval; default is 2.4</dd>

 <dt>k</dt>
<dd>cutoff value for likelihood interval. If not specified, F-test is used.</dd>

</dl>

lir: Likelihood Interval for Variance Ratio of Two Samples from Normal Distribution

Description

Value

Arguments

Author

Examples