dfphase1-package: Phase I Control Charts (with Emphasis on Distribution-Free...

Description Details Author(s) References See Also


Statistical methods for retrospectively detecting changes in location and/or dispersion of univariate and multivariate variables. Data values are assumed to be independent, can be individual (one observation at each instant of time) or subgrouped (more than one observation at each instant of time). Control limits are computed, often using a permutation approach, so that a prescribed false alarm probability is guaranteed without making any parametric assumptions on the stable (in-control) distribution.


The main functions are:

The use of distribution-free control limits is emphasized. However, the package also includes some functions for computing normal-based control limits. As noted in the individual help pages, these limits can also be suitable for some non-normal distributions (e.g., applying a multivariate rank.-transformation, normal-based control limits mantain the desired false alarm probability in the class of the multivariate elliptical distributions). Nevertheless, their use is not generally recommended.

The data should be organized as follows:

Functions phase1Plot and mphase1Plot can be used for plotting the data.


Giovanna Capizzi and Guido Masarotto (maintainer: Giovanna Capizzi <giovanna.capizzi@unipd.it>).


G. Capizzi (2015) “Recent advances in process monitoring: Nonparametric and variable-selection methods for Phase I and Phase II (with discussion)”. Quality Engineering, 27, pp. 44–80, doi: 10.1080/08982112.2015.968046.

G. Capizzi and G. Masarotto (2013), “Phase I Distribution-Free Analysis of Univariate Data”. Journal of Quality Technology, 45, pp. 273–284, doi: 10.1080/00224065.2013.11917938.

G. Capizzi and G. Masarotto (2017), Phase I Distribution-Free Analysis of Multivariate Data, Technometrics, 59, pp. 484–495, doi: 10.1080/00401706.2016.1272494.

G. Capizzi and G. Masarotto (2018), “Phase I Distribution-Free Analysis with the R Package dfphase1”. Frontiers in Statistical Quality Control 12, eds. S. Knoth and W. Schmid, pp. 3–19, Springer, doi: 10.1007/978-3-319-75295-2_1

See Also

shewhart, shewhart.normal.limits, mshewhart, mshewhart.normal.limits, changepoint, changepoint.normal.limits, mchangepoint, mchangepoint.normal.limits, rsp, mphase1, phase1Plot, mphase1Plot.

dfphase1 documentation built on Dec. 11, 2021, 9:32 a.m.