US Army Materiel Command Pamphlet AMCP 706-113: Руководство по экспериментальной статистике (секция 4) PDF (EN)

Downloaded from https://www.everyspec.com UNCLASSIFIED AD NUMBER AD865424 NEW LIMITATION CHANGE TO Approved for public release, distribution unlimited FROM Distribution authorized to U.S. Gov't. agencies and their contractors; Administrative/Operational Use; Dec 1969. Other requests shall be referred to Army Materiel Command, Attn: AMCRD-TV, Washington, DC 20315. AUTHORITY US Army Materiel Command ltr dtd 14 Jan 1972 THIS PAGE IS UNCLASSIFIED

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Downloaded from https://www.everyspec.com AMC PAMPHLET AMCP 706-113 STATEMENT #2 UNCLASSIFIED This document is subject to special export controls and each transmittal to foreign governments or foreign nationals may be made only with prior approval of: Army Materiel Command, Attn AMCRD-TV, Washington, D.C. "20315 SENGINEERING DESIGN HANDBOOK EXPERIMENTAL STATISTICS SECTION 4 SPECIAL TOPICS REPRODUCED BY NATIONAL TECHNICAL INFORMATION SERVICE U. S. DEPART ,ENT OF COMMERCE HEADQUARTERS, U.S. ARMY MATERIEL COMMAND ECEMBER 1969 SPRINM :hfLD VA. 721AI

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Downloaded from https://www.everyspec.com HEADQUARTERS UNITED STATES ARMY MATERIEL COMMAND WASHINGTON, D.C. 20315 AMC PAMPHILET 16 December 1969 No. 706-113* ENGINEERING DESIGN H ,OOK E3XPERIMENTAL STATISTICS (SEC 4) Paragraph Page DISCUSSION OF TECHNIQUES IN CHAPTERS 15 T H R O U G H 23 ................................................. x i CHAPTER 15 "SOME SHORTCUT TESTS FOR SMALL SAMPLES FkOM NORMAL POPULATIONS 15-1 G E N E R A L ........................................... 15-1 15-2 COMPARING THE AVERAGE OF A NEW PRODUCT WITH THAT OF A STANDARD ...................... 1.5-1 A 15-2.1 Does the Average of the New Product Differ From the Stan d ard ? ..................... ............ ........

.. 15-1 15-2.2 Does the Average of the New Product Exceed the Standard? 15-2 15-2.3 Is the Average of the New Product Less Than the Standard? 15-3 15-3 COMPARING THE AVERAGES OF TWO PRODUCTS.. 15-4 15-3.1 Do the Products A and B Differ In Average Performance ?. 15-4 15-3.2 Does the Average of Product A Exceed the Average of P roduct B ? ......................... ............... 15-5 15-4 COMPARING THE AVERAGES OF SEVERAL PROD- UCTS, DO THE AVERAGES OF t PRODUCTS DIFFER?. 15-6 15-5 COMPARING TWO PRODUCTS WITH RESPECT TO VARIABILITY OF PERFORMANCE .................. 15-7 15-5.1 Does the Vari,,dlity of Product A Differ From that of Product B?. 15-7 P r d u t . . . . . . . . . . . . . . . .. . .

.. . . . . . . .. . . .. . . .. . . .. 1 7 15-5.2 Does the Variability of Product A Exceed that of Product B ? . . . . . . . . . .. . . . . . .. . . . . . . . . . . . . . . . . . . .. . . . . . .. . . . . 1 5-8 *This pamphlet supersedes AMCP 706-1 13, 10 March 1966.

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Downloaded from https://www.everyspec.com AMCP 706-113 SPECIAL TOPICS Paragraphi Page CHAPTER 16 SOME TESTS WHICH ARE INDEPENDENT OF THE FORM OF THE DISTRIBUTION 16-1 G E N E R A L ............................ .............. 16-1 16-2 DOES THE AVERAGE OF A NEW PRODUCT DIFFER FROM A STANDARD ? ............................... 16-2 16-2.1 Does the Average of a New Product Differ From a Stand- ard ? The Sign Test ................................. 16-2 16-2.2 Does the Average of a New Product Differ From a Stand- ard ? The Wilcoxon Signed-Ranks Test ................ 16-3 16-3 DOES THE AVERAGE OF A NEW PRODUCT EXCEED THAT OF A STANDARD? ...........................

16-4 16-3.1 Does the Average of a New Product Exceed that of a Standard ? The Sign Test ............................ 16-4 16-3.2 Does the Average of a New Product Exceed that of a Standard? The Wilcoxon Signed-Ranks Test ........... 16-5 16-4 IS THE AVERAGE OF A NEW PRODUCT LESS THAN THAT OF A STANDARD? .......................... 16-6 16-4.1 Is the Average of a New Product Less Than that of a Standard? The Sign Test ............................ 16-6 16-4.2 Is the Average of a New Product Less Than that of a Standard? The Wilcoxon Signed-Ranks Test ........... 16-7 16-5 DO PRODUCTS A AND B DIFFER IN AVERAGE PERFORMANCE? .............

1 .6-8 16-5.1 Do Products A and B Differ in Average Performance? The Sign Test For Paired Observations ................. 16-8 16-5.2 Do Products A and B Differ in Average Performance? The Wilcoxon-Mann-Whitney Test For Two Independent Sa m ples ... .... .... .......................... ........ 16-9 16-6 DOES THE AVERAGE OF PRODUCT A EXCEED THAT OF PROD UCT B ? .................................... 16-10 16-6.1 Does the Average of Product A Exceed that of Product B ? The Sign Test For Paired Observations ................. 16-11 16-6.2 Does the Average of Product A Exceed that of Product B ? The Wilcoxon-Manii-Whitney Test For Two Independent Sa m ples ... .... ................... ..........

....... . 16-11 16-7 COMPARING THE AVERAGES OF SEVERAL PROD- UCTS, DO THE AVERAGES OFt PRODUCTS DIFFER?. 16-13 S........................~~~~ ~~~~. . ; '- •,w .. . .. ... , ' I!....,•:• .:- .,:'

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