Numerical Petrology, Volume 8

1st Edition

Statistical Interpretation of Geochemical Data

Authors: R.W. Le Maitre
Hardcover ISBN: 9780444420985
eBook ISBN: 9781483289748
Imprint: Elsevier Science
Published Date: 1st July 1982
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Table of Contents

Chapter 1. The Nature of Petrological Data

1.1 Introduction

1.2 Sources of Error in Chemical Analyses

1.2.1 Random Sampling Procedures

1.2.2 Homogeneity of Rock Powders

1.2.3 Precision versus Accuracy

1.3 Frequency distributions and probability

1.3.1 The Normal Distribution

1.3.2 The Lognormal Distribution

1.3.3 The Binomial Distribution

1.3.4 The Poisson Distribution

1.3.5 Transformation of Variables

1.3.6 Some Observed Petrological Frequency Distributions

Chapter 2. Estimating and Testing Population Parameters

2.1 Introduction

2.2 Estimation of Population Mean μ, and Standard Deviation σ

2.3 Standard Deviation of the Sample Mean

2.4 Principles of Hypothesis Testing

2.5 Confidence Limits for Population Mean when σ Known

2.6 Sample Size

2.7 Confidence Limits for Population Mean when σ Unknown

2.8 Testing for a Difference Between Two Means

2.9 Variance Ratio Test and F Distribution

2.10 Goodness-of-Fit or Chi-Square Test

Chapter 3. Analysis of Variance - Testing Differences Among Several Means

3.1 Introduction

3.2 One-Way Classification

3.3 Two-Way Classification with Single Observations

3.4 Two-way Classification with Multiple Observations

3.5 Homogeneity of Variances

Chapter 4. Linear Relationships Between Two Variables

4.1 Introduction

4.2 The Correlation Coefficient

4.2.1 Testing the Correlation Coefficient for Significance

4.2.2 Confidence Limits for the Population Correlation Coefficient

4.2.3 The Problem of Closure



Developments in Petrology, Volume 8: Numerical Petrology: Statistical Interpretation of Geochemical Data presents the methods that are likely to be useful to the average petrologist. This book deals with the problems of closed data and singular matrices in multiple discriminant analysis and classification procedure.

Organized into 12 chapters, this volume begins with an overview of the petrological data that can be quantified, including both discrete and continuous variables. This text then examines the methods of testing for differences between the means of two populations. Other chapters consider the three methods of evaluating linear trends within such bivatiate plots, namely, the use of the correlation coefficient, linear regression analysis, and either structural or functional relationships. This book discusses as well the propagation of errors in mineral and normative recalculations. The final chapter deals with the use of computers to manage the tremendous amount of information that is available.

This book is a valuable resource for petrologists, geochemists, and geologists.


© Elsevier Science 1982
Elsevier Science
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@qu:...destined to become a necessary part of the education of any modern petrologist, and an essential buy for any graduate-level student or professional geologist engaged in chemical aspects of petrology. @source: Episodes

About the Authors

R.W. Le Maitre Author