OVL.LogitK

Kernel approach estimating the variance via bootstrap in the logit scale and back-transformed.

Provides functions to construct confidence intervals for the Overlap Coefficient (OVL). OVL measures the similarity between two distributions through the overlapping area of their distribution functions. Given its intuitive description and ease of visual representation by the straightforward depiction of the amount of overlap between the two corresponding histograms based on samples of measurements from each one of the two distributions, the development of accurate methods for confidence interval construction can be useful for applied researchers. Implements methods based on the work of Franco-Pereira, A.M., Nakas, C.T., Reiser, B., and Pardo, M.C. (2021) <doi:10.1177/09622802211046386> as well as extensions for multimodal distributions proposed by Alcaraz-Peñalba, A., Franco-Pereira, A., and Pardo, M.C. (2025) <doi:10.1007/s10182-025-00545-2>.

Alba M. Franco-Pereira 

OVL.CI

Inference on the Overlap Coefficient

Christos T. Nakas 

Benjamin Reiser 

M.Carmen Pardo 

Alba Alcaraz-Peñalba 

OVL.LogitK function

<dl><dt>x</dt>
<dd>Numeric vector. Data from the first group.</dd>
<dt>y</dt>
<dd>Numeric vector. Data from the second group.</dd>
<dt>alpha</dt>
<dd>confidence level.</dd>
<dt>B</dt>
<dd>bootstrap size.</dd>
<dt>k</dt>
<dd>kernel. When k=1 (default value) the kernel used in the estimation is the Gaussian kernel. Otherwise, the Epanechnikov kernel is used instead.</dd>
<dt>h</dt>
<dd>bandwidth. When h=1 (default value) the cross-validation bandwidth is chosen. Otherwise, the bandwidth considered by Schmid and Schmidt (2006) is used instead.</dd></dl>

Arguments

OVL.LogitK — OVL.LogitK

<dl>

<dt>x</dt>
<dd>Numeric vector. Data from the first group.</dd>


<dt>y</dt>
<dd>Numeric vector. Data from the second group.</dd>


<dt>alpha</dt>
<dd>confidence level.</dd>


<dt>B</dt>
<dd>bootstrap size.</dd>


<dt>k</dt>
<dd>kernel. When k=1 (default value) the kernel used in the estimation is the Gaussian kernel. Otherwise, the Epanechnikov kernel is used instead.</dd>


<dt>h</dt>
<dd>bandwidth. When h=1 (default value) the cross-validation bandwidth is chosen. Otherwise, the bandwidth considered by Schmid and Schmidt (2006) is used instead.</dd>

</dl>

OVL.LogitK: OVL.LogitK

Description

Usage

Value

Arguments

Examples