Statistical data analysis for ocean and atmospheric sciences:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
San Diego [u.a.]
Acad. Press
1994
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XV, 247 S. Ill., graph. Darst. 1 Diskette ; 9 cm |
| ISBN: | 0126869251 012686926X |
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MARC
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Record in the Search Index
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| adam_text | Titel: Statistical data analysis for ocean and atmospheric sciences
Autor: Thiébaux, H. Jean
Jahr: 1994
CONTENTS
PREFACE xjji
ACKNOWLEDGMENTS xv
I
STATISTICAL ANALYSIS AND INFERENCE
IN SCIENCE
the art of reaching conclusions at the interface of theory
and observation I
1.1 Introduction 1
1.2 A Format for Statistical Inference 3
1.3 Picking Analysis Techniques and Seeking Help 5
1.4 A Few Examples 6
1.5 Data Sets and Data Management 10
1.6 Final Technical Note 10
Exercises 10
VII
Vili CONTENTS
2
DATA AND DATA MANAGEMENT
what we have to go on or accumulated records
of observations and their expeditious reorganization 15
2.1 Introduction 15
2.2 Daily Climatological Data for 15 Stations 16
2.3 Ocean Temperature and Salinity Data 18
2.4 A 10-Year, Daily Temperature, and Precipitation Data Set
and 94 Years of Monthly Mean Values
for State College, Pennsylvania 19
2.5 Daily MIN/MAX Temperature Time Series
for Five Cities 23
2.6 Using MINITAB for Data Management 23
Exercises 30
DESCRIPTIVE STATISTICS
first impressions or sketching features of observed systems
with data 33
3.1 Introduction 33
3.2 Data Plots, Histograms, and Frequency Distributions
for a Time Sequence of Observations 37
3.3 Summary Statistics 42
3.4 Comparisons 44
3.5 Correlations 45
3.6 Words of Caution in Interpreting Values
of Descriptive Statistics 48
Exercises 50
4
THE FOUNDATIONS OF INFERENCE
probability models as descriptions
of research outcomes 53
4.1 Introduction 53
4.2 The Basic Probability Model 54
4.3 Continuous Outcome Description Spaces
and Event Set Operations 56
CONTENTS IX
4.4 Probability Models for Vector-Valued Outcomes 60
4.5 Generic Events and Probability Rules 64
4.6 Conditional Probability and Independent Events 66
4.7 An Application of Bayes Theorem 68
Exercises 69
STOCHASTIC VARIABLES
AND THE IDENTIFICATION
OF THEIR DISTRIBUTIONS
distilling uncertainty 73
5.1 Introduction 73
5.2 The Binomial Distribution 77
5.3 The Poisson Distribution 84
Exercises 91
THE EXPONENTIAL
AND UNIFORM DISTRIBUTIONS
describing uncertainty in time and space 95
6.1 Introduction 95
6.2 Exponential Distributions of Waiting Times 96
6.3 Uniform Distributions of Waiting Times 101
6.4 Random Location Distributions 104
Exercises 107
7
THE NORMAL DISTRIBUTIONS
good approximations for many composite variables 111
7.1 Introduction 111
7.2 The Univariate Normal Distributions 112
7.3 Multivariate Normal Distributions 125
Exercises 136
CONTENTS
8
ANALYZING VARIABILITY
establishing differences between means
and between variances 143
8.1 Introduction 143
8.2 The Quadratic Form: Keystone in Analyses
of Variability 145
8.3 The Chi Square Distribution and Confidence Intervals
for a Variance Parameter 149
8.4 Student s t Distribution: Inferences about Means
and Differences between Means 155
8.5 Fisher s F Distribution for a Ratio of Variances 161
8.6 The Correlation Estimate and Fisher s Æ 164
Exercises 167
TESTING HYPOTHESES
dealing with the generic critic while establishing
powerful support for new ideas 173
9.1 Introduction 173
9.2 Statement and Testing of Competing Hypotheses 175
9.3 The Playoff between Risks of Wrong Decisions 180
9.4 The Dependence of Power on the Number
of Observations 183
9.5 The Connection between Confidence Intervals and
Tests of Hypotheses 188
Exercises 191
10
LINEAR REGRESSION
analyzing an influence network 195
10.1 Introduction 195
10.2 Two-Variable Linear Regression 197
10.3 Linear Regression with Several Variables 204
10.4 The Backbone of Regression Analysis
in Statistical Theory 209
10.5 Testing Regression Hypotheses 216
Exercises 220
CONTENTS X¡
II
BOOTSTRAPPING
scientific inference when none of the above apply 225
11.1 Introduction 225
11.2 Bootstrap Technology 226
11.3 Examples of Bootstrapping in Geophysics 228
11.4 Open Problems in the Development and Use
of Bootstrap Analysis Techniques 231
Exercises 233
REFERENCES 235
INDEX 239
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:28:14Z |
| institution | BVB |
| isbn | 0126869251 012686926X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008466802 |
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| physical | XV, 247 S. Ill., graph. Darst. 1 Diskette ; 9 cm |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Acad. Press |
| record_format | marc |
| spelling | Thiébaux, H. Jean Verfasser aut Statistical data analysis for ocean and atmospheric sciences by H. Jean Thiébaux San Diego [u.a.] Acad. Press 1994 XV, 247 S. Ill., graph. Darst. 1 Diskette ; 9 cm txt rdacontent n rdamedia nc rdacarrier Meteorology Oceanography Estatistica aplicada a meteorologia/climatologia larpcal Oceanografia larpcal Meteorology Statistical methods Oceanography Statistical methods HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008466802&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Thiébaux, H. Jean Statistical data analysis for ocean and atmospheric sciences Meteorology Oceanography Estatistica aplicada a meteorologia/climatologia larpcal Oceanografia larpcal Meteorology Statistical methods Oceanography Statistical methods |
| title | Statistical data analysis for ocean and atmospheric sciences |
| title_auth | Statistical data analysis for ocean and atmospheric sciences |
| title_exact_search | Statistical data analysis for ocean and atmospheric sciences |
| title_full | Statistical data analysis for ocean and atmospheric sciences by H. Jean Thiébaux |
| title_fullStr | Statistical data analysis for ocean and atmospheric sciences by H. Jean Thiébaux |
| title_full_unstemmed | Statistical data analysis for ocean and atmospheric sciences by H. Jean Thiébaux |
| title_short | Statistical data analysis for ocean and atmospheric sciences |
| title_sort | statistical data analysis for ocean and atmospheric sciences |
| topic | Meteorology Oceanography Estatistica aplicada a meteorologia/climatologia larpcal Oceanografia larpcal Meteorology Statistical methods Oceanography Statistical methods |
| topic_facet | Meteorology Oceanography Estatistica aplicada a meteorologia/climatologia Oceanografia Meteorology Statistical methods Oceanography Statistical methods |
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