Title:
|
Tables for a statistical quality control test (English) |
Author:
|
Rublík, František |
Author:
|
Bognárová, Marta |
Language:
|
English |
Journal:
|
Applications of Mathematics |
ISSN:
|
0862-7940 (print) |
ISSN:
|
1572-9109 (online) |
Volume:
|
37 |
Issue:
|
6 |
Year:
|
1992 |
Pages:
|
459-468 |
Summary lang:
|
English |
. |
Category:
|
math |
. |
Summary:
|
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 $\mu + c\sigma \leq M$, $\mu - c\sigma \geq m$, are presented. In this setup $m < M$ are prescribed tolerance limits and $c > 0$ in a chosen constant. (English) |
Keyword:
|
two-sided quality control |
Keyword:
|
normal distribution |
Keyword:
|
small sample sizes |
Keyword:
|
hypothesis testing |
Keyword:
|
tolerance limits |
MSC:
|
62F03 |
MSC:
|
62N10 |
MSC:
|
62P30 |
MSC:
|
62Q05 |
idZBL:
|
Zbl 0783.62080 |
idMR:
|
MR1185801 |
DOI:
|
10.21136/AM.1992.104524 |
. |
Date available:
|
2008-05-20T18:44:33Z |
Last updated:
|
2020-07-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104524 |
. |
Reference:
|
[1] N. Johnson, F. Leone: Statistics and Experimental Design.Wiley, New York, 1977. Zbl 0397.62001 |
Reference:
|
[2] J. Likeš, J. Laga: Fundamental Statistical Tables.SNTL, Prague, 1978. (In Czech.) |
Reference:
|
[3] F. Rublík: On the two-sided quality control.Aplikace matematiky 27 (1982), 87-95. MR 0651047 |
Reference:
|
[4] F. Rublík: Correction to the paper "On the two-sided quality control".Aplikace matematiky 34 (1989), 425-427. MR 1026506 |
Reference:
|
[5] F. Rublík: On testing hypotheses approximable by cones.Math. Slovaca 39 (1989), 199-213. MR 1018261 |
Reference:
|
[6] F. Rublík: Testing a tolerance hypothesis by means of an information distance.Aplikace matematiky 35 (1990), 458-470. MR 1089926 |
. |