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Book Cover
E-book
Author Little, Robert

Title Mechanical Reliability Improvement Probability and Statistics for Experimental Testing
Published Milton : Taylor & Francis Group, 2002

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Description 1 online resource (0 p.)
Contents Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Dedication -- Preface -- Introduction -- Nomenclature and Acronyms -- Table of Contents -- 1: Experiment Test Program Planning and Statistical Analysis Fundamentals -- 1.1 Introduction -- 1.2 Test Objective -- 1.3 Experiment Test Program Planning Fundamentals -- 1.4 Experiment Test Program Planning Tips -- 1.5 Statistical Analysis Fundamentals -- 1.6 Closure -- 1.A Supplemental Topic: Planned Experiment Test Program Statistical Terminology -- 2: Planned Experiment Test Programs with Orthogonal Conceptual Statistical Models
2.1 Introduction -- 2.2 Completely Randomized Design Experiment Test Programs -- 2.3 Unreplicated Randomized Complete Block Design Experiment Test Programs -- 2.4 Unreplicated Split-Plot Design Experiment Test Programs -- 2.5 Mechanical Reliability Applications of Statistically Planned Experiment Test Programs -- 2.6 Closure -- 2.A Supplemental Topic: Choosing Physically Relevant Conceptual Treatment Effect Contrasts -- 2.B Supplemental Topic: Fractional Factorial Arrangements and Statistical Confounding -- 3: Basic Probability and Statistics Concepts and Their Mechanical Reliability Applications
3.1 Introduction -- 3.2 Exact Enumeration-Based Probability -- 3.3 Empirical Simulation-Based Probability -- 3.4 Empirical Randomization-Based Probability -- 3.5 Simulation-Based Demonstrations of Fundamental Probability Behaviors -- 3.6 Conceptual Statistical Distribution that Consists of All Possible Replicate Realization Values for a Generic Random Variable X with a Continuous Metric -- 3.7 Actual Values for the Mean and Variance of the Conceptual Statistical Distribution that Consists of all Possible Replicate Realization Values for a Generic Random Variable X with a Continuous Metric
3.8 Sampling Distributions -- 3.9 Technical Definition for the Null Hypothesis that B = A Statistically and for the Simple (One-Sided) Alternative Hypothesis that B > A Statistically -- 3.10 Mechanical Reliability Perspective -- 3.11 Closure -- 3.A Supplemental Topic: Statistical Weights of Datum Values and Actual Values for the Mean and Variance of the Conceptual Statistical Distribution that Consists of All Possible Replicate Realization Values for a Random Variable with a Discrete Metric -- 3.B Supplemental Topic: Conceptual (One-Parameter) Binomial Distribution
3.C Supplemental Topic: Lower 100(SCP)% (One-Sided) Statistical Confidence Limits -- 3.D Supplemental Topic: Randomization-Based Test of the Null Hypothesis that B = A Statistically Versus the Simple (One-Sided) Alternative Hypothesis that B > A Statistically Pertaining to a CRD Experiment Test Program -- 4: The Classical Statistical Presumption of Normally Distributed Experiment Test Program Datum Values -- 4.1 Introduction -- 4.2 Conceptual Sampling Distribution that Consists of All Possible Replicate Realization Values for the Statistic (the Sum of ns Uniform Pseudorandom Numbers
Summary Providing probability and statistical concepts developed using pseudorandom numbers, this book covers enumeration-, simulation-, and randomization-based statistical analyses for comparison of the test performance of alternative designs, as well as simulation- and randomization-based tests for examination of the credibility of statistical presumptions. the book discusses centroid and moment of inertia analogies for mean and variance and the organization structure of completely randomized, randomized complete block, and split spot experiment test programs. A compact disc with nearly 200 microcom
Notes Description based upon print version of record
Form Electronic book
ISBN 9780429213335
0429213336