Tables for a statistical quality control test

František Rublík; Marta Bognárová

Applications of Mathematics (1992)

  • Volume: 37, Issue: 6, page 459-468
  • ISSN: 0862-7940

Abstract

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Critical constants for a test of the hypothesis that the mean μ and the standard deviation σ of the normal N ( μ , σ 2 ) population satisfy the constrains μ + c σ M , μ - c σ m , are presented. In this setup m < M are prescribed tolerance limits and c > 0 in a chosen constant.

How to cite

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Rublík, František, and Bognárová, Marta. "Tables for a statistical quality control test." Applications of Mathematics 37.6 (1992): 459-468. <http://eudml.org/doc/15728>.

@article{Rublík1992,
abstract = {Critical constants for a test of the hypothesis that the mean $\mu $ and the standard deviation $\sigma $ of the normal $N(\mu ,\sigma ^2)$ population satisfy the constrains $\mu + c\sigma \le M$, $\mu - c\sigma \ge m$, are presented. In this setup $m < M$ are prescribed tolerance limits and $c > 0$ in a chosen constant.},
author = {Rublík, František, Bognárová, Marta},
journal = {Applications of Mathematics},
keywords = {two-sided quality control; normal distribution; small sample sizes; hypothesis testing; tolerance limits; two-sided quality control; normal distribution; small sample sizes; tolerance limits},
language = {eng},
number = {6},
pages = {459-468},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Tables for a statistical quality control test},
url = {http://eudml.org/doc/15728},
volume = {37},
year = {1992},
}

TY - JOUR
AU - Rublík, František
AU - Bognárová, Marta
TI - Tables for a statistical quality control test
JO - Applications of Mathematics
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 37
IS - 6
SP - 459
EP - 468
AB - Critical constants for a test of the hypothesis that the mean $\mu $ and the standard deviation $\sigma $ of the normal $N(\mu ,\sigma ^2)$ population satisfy the constrains $\mu + c\sigma \le M$, $\mu - c\sigma \ge m$, are presented. In this setup $m < M$ are prescribed tolerance limits and $c > 0$ in a chosen constant.
LA - eng
KW - two-sided quality control; normal distribution; small sample sizes; hypothesis testing; tolerance limits; two-sided quality control; normal distribution; small sample sizes; tolerance limits
UR - http://eudml.org/doc/15728
ER -

References

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  1. N. Johnson, F. Leone, Statistics and Experimental Design, Wiley, New York, 1977. (1977) Zbl0397.62001
  2. J. Likeš, J. Laga, Fundamental Statistical Tables, SNTL, Prague, 1978. (In Czech.) (1978) 
  3. F. Rublík, On the two-sided quality control, Aplikace matematiky 27 (1982), 87-95. (1982) MR0651047
  4. F. Rublík, Correction to the paper "On the two-sided quality control", Aplikace matematiky 34 (1989), 425-427. (1989) MR1026506
  5. F. Rublík, On testing hypotheses approximable by cones, Math. Slovaca 39 (1989), 199-213. (1989) MR1018261
  6. F. Rublík, Testing a tolerance hypothesis by means of an information distance, Aplikace matematiky 35 (1990), 458-470. (1990) MR1089926

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