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Mechanical Reliability Improvement Probability and Statistics for Experimental Testing

ISBN-10: 0824708121
ISBN-13: 9780824708122
Edition: 2002
List price: $86.95
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Book details

List price: $86.95
Copyright year: 2002
Publisher: CRC Press LLC
Publication date: 9/25/2002
Binding: Hardcover
Pages: 672
Size: 6.25" wide x 9.00" long x 1.25" tall
Weight: 2.574
Language: English

Preface
Introduction
Experiment Test Program Planning and Statistical Analysis Fundamentals
Introduction
Test Objective
Experiment Test Program Planning Fundamentals
Experiment Test Program Planning Tips
Statistical Analysis Fundamentals
Closure
Supplemental Topic: Planned Experiment Test Program Statistical Terminology
Planned Experiment Test Programs with Orthogonal Conceptual Statistical Models
Introduction
Completely Randomized Design Experiment Test Programs
Unreplicated Randomized Complete Block Design Experiment Test Programs
Unreplicated Split-Plot Design Experiment Test Programs
Mechanical Reliability Applications of Statistically Planned Experiment Test Programs
Closure
Supplemental Topic: Choosing Physically Relevant Conceptual Treatment Effect Contrasts
Supplemental Topic: Fractional Factorial Arrangements and Statistical Confounding
Basic Probability and Statistics Concepts and Their Mechanical Reliability Applications
Introduction
Exact Enumeration-Based Probability
Empirical Simulation-Based Probability
Empirical Randomization-Based Probability
Simulation-Based Demonstrations of Fundamental Probability Behaviors
Conceptual Statistical Distribution that Consists of All Possible Replicate Realization Values for a Generic Random Variable X with a Continuous Metric
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
Sampling Distributions
Technical Definition for the Null Hypothesis that B = A Statistically and for the Simple (One-Sided) Alternative Hypothesis that B > A Statistically
Mechanical Reliability Perspective
Closure
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
Supplemental Topic: Conceptual (One-Parameter) Binomial Distribution
Supplemental Topic: Lower 100(SCP)% (One-Sided) Statistical Confidence Limits
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
The Classical Statistical Presumption of Normally Distributed Experiment Test Program Datum Values
Introduction
Conceptual Sampling Distribution that Consists of All Possible Replicate Realization Values for the Statistic (the Sum of n[subscript s] Uniform Pseudorandom Numbers)
Accuracy of the Conceptual (Two-Parameter) Normal Distribution Approximation to the Conceptual Sampling Distribution that Consists of All Possible Replicate Realization Values for the Statistic (the Sum of n[subscript s] Pseudorandom Numbers)
Closure
Supplemental Topic: Randomization-Based Test of the Null Hypothesis of Independence for Paired Datum Values Versus the Alternative Hypothesis of a Monotonic Association
The Conceptual (Two-Parameter) Normal Distribution and the Associated Conceptual Sampling Distributions for Pearson's Central x[superscript 2] (Chi Square), Snedecor's Central F, and Student's Central t Test Statistics
Conceptual (Two-Parameter) Normal Distribution
Plotting Replicate Datum Values on Probability Paper
Simulation Study of Normally Distributed Pseudorandom Datum Values Plotted on Normal Probability Paper
Estimating Mean(X) and STDDEV(X) Given Replicate Datum Values Randomly Selected from a Conceptual (Two-Parameter) Normal Distribution
Testing Normality for Replicate Datum Values
Conceptual Sampling Distributions for Statistics Based on Datum Values Randomly Selected from a Conceptual (Two-Parameter) Normal Distribution
Classical (Shortest) 100(SCP)% (Two-Sided) Statistical Confidence Interval that Allegedly Includes Mean(X)-Computed Using Student's Central t Conceptual Sampling Distribution
Same Classical Shortest 100(SCP)% (Two-Sided) Statistical Confidence Interval that Allegedly Includes Mean(X)-Computed Using Snedecor's Central F Conceptual Sampling Distribution
Classical 100(SCP)% (Two-Sided) Statistical Confidence Interval that Allegedly Includes Var(X)-Computed Using Pearson's Central x[superscript 2] Conceptual Sampling Distribution
Closure
Supplemental Topic: Statistical Estimators
Statistical Analysis of Variance (ANOVA)
Classical Statistical Analysis of Variance (Fixed Effects Model)
A Demonstration of Validity of Snedecor's Central F Test Statistic in ANOVA Using Four Constructed Data Sets
Classical ANOVA Using Snedecor's Central F Test Statistic
Comparing All Pairs of Conceptual Treatment Means
Checking the Presumptions Underlying Classical ANOVA
Statistical Power
Enumeration-Based and Randomization-Based ANOVA's
Closure
Supplemental Topic: Exact Statistical Power Calculation Example
Supplemental Topic: The Concept of a Weighted Average
Supplemental Topic: Testing for Batch-to-Batch Effects
Linear Regression Analysis
Introduction
Simple Linear Regression Analysis
Multiple Linear Regression Analysis
Balancing Spurious Effects of Nuisance Variables in Linear Regression Experiment Test Programs
Closure
Supplemental Topic: Propagation of Variability
Supplemental Topic: Weighted Simple Linear Regression Analysis
Supplemental Topic: Classical Hyperbolic 100(SCP)% (Two-Sided) Statistical Confidence Bands in Simple Linear Regression
Mechanical Reliability Fundamentals and Example Analyses
Introduction
Mechanical Reliability Terminology
Conceptual Statistical Model for Fatigue Failure and Associated Life (Endurance) and Strength (Resistance) Experiment Test Programs
Life (Endurance) Experiment Test Programs
Strength (Resistance) Experiment Test Programs
Conceptual Statistical Distributions for Modeling Outcomes of Life (Endurance) and Strength (Resistance) Experiment Test Programs
Conceptual Life (Endurance) Distributions
Conceptual Life (Endurance) Distributions with a Concomitant Independent Variable
Conceptual Strength (Resistance) Distributions
Quantitative Analyses for the Outcomes of Life (Endurance) and Strength (Resistance) Experiment Test Programs
Quantitative Maximum Likelihood Analysis
Quantitative Maximum Likelihood Examples
Comparative Analyses for Outcomes of Life (Endurance) and Strength (Resistance) Experiment Test Programs
Comparative Maximum Likelihood Analyses
Comparative Analysis for Outcome of a Life (Endurance) Experiment Test Program, Based on a Generalized Savage Distribution-Free (Non-Parametric) Test Statistic
Estimating Sub System Reliability
Closure
Supplemental Topic: Exact (Unbiased) A-Basis and B-Basis Statistical Tolerance Limits Based on Uncensored Replicate Datum Values
Supplemental Topic: Maximum Likelihood Analysis for Outcome of a Life (Endurance) Experiment Test Program with Type-I Censoring, Presuming log[subscript e] Normal Datum Values
Supplemental Topic: Maximum Likelihood Analysis for Outcome of a Strength (Resistance) Experiment Test Program with Two or More Stress (Stimulus) Levels
Supplemental Topic: Generating Pseudorandom Datum Values and Computing Pragmatic Statistical Bias Corrections for ML-Based Estimates
Supplemental Topic: Classical and Likelihood Ratio Lower 100(SCP)% (One-Sided) Asymptotic Statistical Confidence Bands and Limits
Supplemental Topic: Testing Statistical Adequacy of Presumed Conceptual Model Using the LR Method
Index

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