Basic statistics: a primer for the biomedical sciences
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1977
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Wiley series in probability and mathematical statistics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 218 S. |
| ISBN: | 0471227447 |
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Datensatz im Suchindex
| _version_ | 1804135903483920384 |
|---|---|
| adam_text | CONTENTS
Chapter 1. Introduction 1
Statistics: Its Meaning, 1
Objectives in Studying Statistics, 1
Chapter 2. Populations and Samples 4
Reasons for Using Samples, 5
Sample Size, 6
Random Samples, 6
Other Types of Sample 6
Reasons for Using Random Samples, 7
Selection of a Random Sample, 8
Sampling with and without Replacement, 9
Tables of Random Numbers, 10
Selecting Samples When Lists Are Unavailable, 11
Samples of Convenience, 11
Chapter 3. Describing a Sample: Frequency Tables and Their Graphs 14
The Array, 14
The Frequency Table, 16
Relative Frequency Tables, 19
Graphs, 21
Histograms—Equal Class Intervals, 21
The Histogram—Unequal Class Intervals, 23
Areas under the Histogram, 24
The Frequency Polygon, 24
Discrete and Continuous Scales, 25
Histograms with Small Class Intervals, 26
Distribution Curves, 26
Chapter 4. Describing a Sample: Measures of Location 30
Parameters and Statistics, 30
The Arithmetic Mean, 30
[vii]
CONTENTS
The Median, 31
Other Averages, 32
Mean and Median, 32
Computation of Mean from a Frequency Table, 33
Coding the Observations, 34
The Median from Tabulated Data, 35
Chapter 5. Describing a Sample: Measures of Variability 38
Variability, 38
Measures of Variability, 39
Computing the Standard Deviation from a
Frequency Table, 41
Computing Formulae for the Standard Deviation and the
Variance, 42
Calculation of the Standard Deviation Using Coded Data, 44
Standard Deviation and Variance of Data Measured on
Different Scales, 45
Some Remarks on Calculations, 45
Sampling Properties of Mean and Variance, 46
Unbiasedness of the Sample Mean, 48
Unbiasedness of the Sample Variance, 48
Chapter 6. The Normal Distribution 50
Properties of the Normal Distribution, 50
Areas under the Normal Curve, 52
Interpreting Areas as Probabilities, 56
Importance of the Normal Distribution, 56
Chapter 7. Estimation of Population Means: Confidence Intervals 60
Estimating a Single Mean, 60
Confidence Intervals: An Example, 60
Definition of Confidence Interval, 62
Choice of Confidence Level, 62
Sample Size, 63
The t Distribution, 63
Confidence Interval for the Mean, Using the
t Distribution, 64
Estimating the Difference between Two Means:
Unpaired Data, 65
The Distribution of Xx X2, 68
[ viii ]
CONTENTS
Confidence Intervals for ju, fi2: Known Variance, 70
Confidence Intervals for fr fa Unknown Variance, 71
Summary, 72
Assigning Treatment at Random, 72
Estimating the Difference between Two Means: Paired
Comparisons, 73
Paired versus Group Comparisons, 75
Chapter 8. Tests of Hypotheses on Population Means 81
An Example of a Test, 81
One Sided Tests, 86
Summary for Testing Ho: [i = Ho When a Is Known, 86
Testing Ho: /x = f% When a Is Unknown, 87
Tests on the Differences between Two Means: Known
Variances, 88
Summary for Testing Ho: jUi = /x2 When the Standard
Deviations Are Known, 92
Testing Differences between Means: Unknown Variances, 93
Testing Differences between Means: Paired Data, 94
Acceptance and Rejection, 95
One Sided and Two Sided Tests, 96
Two Kinds of Error, 97
An Illustration of /?, 97
a,/?, Power, and Sample Size, 99
Confidence Intervals and Tests, 100
Summary Table, 101
Chapter 9. Enumeration Data: Proportions 103
Proportions: Examples, 103
Samples from a Bead Box, 104
Use of the Normal Approximation, 107
Continuity Correction, 108
Confidence Intervals for a Population Proportion, 109
Confidence Intervals for the Difference between Two
Population Proportions, 110
Tests of Hypotheses for a Population Proportion, 112
Testing the Difference between Two Proportions, 114
Summary, 115
Differences in Proportions from a Single Sample, 116
CONTENTS
Chapter 10. Enumeration Data: The Chi Square Test 122
An Example, 122
Borderline Decisions, 126
Necessary Sample Size, 126
Tests of Association, 126
Goodness of Fit Tests, 128
Degrees of Freedom, 130
The Continuity Correction, 131
Remarks, 132
Chapter 11. Variances: Estimation and Tests 136
Point Estimates for Variances and Standard Deviations, 136
Confidence Intervals for Variance and Standard
Deviation Using a Single Sample, 137
Confidence Interval for Variance and Standard
Deviation with More than One Sample, 139
Testing Whether Two Variances Are Equal, 140
Summary for Testing Ho: o12=o^i, 143
Chapter 12. Regression and Correlation 146
The Scatter Diagram, 146
Linear Regression, 147
Plotting the Regression Line, 149
The Regression Coefficient, 150
The Meaning of the Least Squares Line, 150
The Variance around the Regression Line, 152
A Model Underlying Linear Regression, 153
Confidence Intervals in Linear Regression, 154
Correlation, 160
Calculation of the Coefficient of Correlation, 160
The Meaning of the Correlation Coefficient, 161
The Population Coefficient of Correlation, 163
Confidence Intervals for the Correlation Coefficient, 163
Tests of H0:p=p0 164
Interpreting the Correlation Coefficient, 164
Chapter 13. Demography and Vital Statistics 168
Rates and Ratios, 169
Mortality Rates, 169
[x]
CONTENTS
Standardized Death Rates, 170
Infant and Neonatal Mortality Rates, 173
Birth Rates, 173
Morbidity Statistics, 174
Chapter 14. Life Tables 178
Construction of a Life Table from Mortality Rates, 178
The Abridged Life Table, 181
Life Tables from Follow Up Studies, 184
Appendix 190
A.1 Random Numbers, 190
A.2 Four Place Squares of Numbers, 193
A.3 The Standard Normal Distribution, 195
A.4 Percentage Points t[X] of Student s t Distribution, 199
A.5 Percentage Points x2W of the x2 Distribution, 201
A.6 Percentage Points F[X] of the F Distribution, 202
A.7 Confidence Intervals for the Correlation Coefficient, 208
Answers to Some of the Exercises 209
Index 215
[xi]
|
| adam_txt |
CONTENTS
Chapter 1. Introduction 1
Statistics: Its Meaning, 1
Objectives in Studying Statistics, 1
Chapter 2. Populations and Samples 4
Reasons for Using Samples, 5
Sample Size, 6
Random Samples, 6
Other Types of Sample 6
Reasons for Using Random Samples, 7
Selection of a Random Sample, 8
Sampling with and without Replacement, 9
Tables of Random Numbers, 10
Selecting Samples When Lists Are Unavailable, 11
Samples of Convenience, 11
Chapter 3. Describing a Sample: Frequency Tables and Their Graphs 14
The Array, 14
The Frequency Table, 16
Relative Frequency Tables, 19
Graphs, 21
Histograms—Equal Class Intervals, 21
The Histogram—Unequal Class Intervals, 23
Areas under the Histogram, 24
The Frequency Polygon, 24
Discrete and Continuous Scales, 25
Histograms with Small Class Intervals, 26
Distribution Curves, 26
Chapter 4. Describing a Sample: Measures of Location 30
Parameters and Statistics, 30
The Arithmetic Mean, 30
[vii]
CONTENTS
The Median, 31
Other Averages, 32
Mean and Median, 32
Computation of Mean from a Frequency Table, 33
Coding the Observations, 34
The Median from Tabulated Data, 35
Chapter 5. Describing a Sample: Measures of Variability 38
Variability, 38
Measures of Variability, 39
Computing the Standard Deviation from a
Frequency Table, 41
Computing Formulae for the Standard Deviation and the
Variance, 42
Calculation of the Standard Deviation Using Coded Data, 44
Standard Deviation and Variance of Data Measured on
Different Scales, 45
Some Remarks on Calculations, 45
Sampling Properties of Mean and Variance, 46
Unbiasedness of the Sample Mean, 48
Unbiasedness of the Sample Variance, 48
Chapter 6. The Normal Distribution 50
Properties of the Normal Distribution, 50
Areas under the Normal Curve, 52
Interpreting Areas as Probabilities, 56
Importance of the Normal Distribution, 56
Chapter 7. Estimation of Population Means: Confidence Intervals 60
Estimating a Single Mean, 60
Confidence Intervals: An Example, 60
Definition of Confidence Interval, 62
Choice of Confidence Level, 62
Sample Size, 63
The t Distribution, 63
Confidence Interval for the Mean, Using the
t Distribution, 64
Estimating the Difference between Two Means:
Unpaired Data, 65
The Distribution of Xx X2, 68
[ viii ]
CONTENTS
Confidence Intervals for ju, fi2: Known Variance, 70
Confidence Intervals for fr fa' Unknown Variance, 71
Summary, 72
Assigning Treatment at Random, 72
Estimating the Difference between Two Means: Paired
Comparisons, 73
Paired versus Group Comparisons, 75
Chapter 8. Tests of Hypotheses on Population Means 81
An Example of a Test, 81
One Sided Tests, 86
Summary for Testing Ho: [i = Ho When a Is Known, 86
Testing Ho: /x = f% When a Is Unknown, 87
Tests on the Differences between Two Means: Known
Variances, 88
Summary for Testing Ho: jUi = /x2 When the Standard
Deviations Are Known, 92
Testing Differences between Means: Unknown Variances, 93
Testing Differences between Means: Paired Data, 94
Acceptance and Rejection, 95
One Sided and Two Sided Tests, 96
Two Kinds of Error, 97
An Illustration of /?, 97
a,/?, Power, and Sample Size, 99
Confidence Intervals and Tests, 100
Summary Table, 101
Chapter 9. Enumeration Data: Proportions 103
Proportions: Examples, 103
Samples from a Bead Box, 104
Use of the Normal Approximation, 107
Continuity Correction, 108
Confidence Intervals for a Population Proportion, 109
Confidence Intervals for the Difference between Two
Population Proportions, 110
Tests of Hypotheses for a Population Proportion, 112
Testing the Difference between Two Proportions, 114
Summary, 115
Differences in Proportions from a Single Sample, 116
CONTENTS
Chapter 10. Enumeration Data: The Chi Square Test 122
An Example, 122
Borderline Decisions, 126
Necessary Sample Size, 126
Tests of Association, 126
Goodness of Fit Tests, 128
Degrees of Freedom, 130
The Continuity Correction, 131
Remarks, 132
Chapter 11. Variances: Estimation and Tests 136
Point Estimates for Variances and Standard Deviations, 136
Confidence Intervals for Variance and Standard
Deviation Using a Single Sample, 137
Confidence Interval for Variance and Standard
Deviation with More than One Sample, 139
Testing Whether Two Variances Are Equal, 140
Summary for Testing Ho: o12=o^i, 143
Chapter 12. Regression and Correlation 146
The Scatter Diagram, 146
Linear Regression, 147
Plotting the Regression Line, 149
The Regression Coefficient, 150
The Meaning of the Least Squares Line, 150
The Variance around the Regression Line, 152
A Model Underlying Linear Regression, 153
Confidence Intervals in Linear Regression, 154
Correlation, 160
Calculation of the Coefficient of Correlation, 160
The Meaning of the Correlation Coefficient, 161
The Population Coefficient of Correlation, 163
Confidence Intervals for the Correlation Coefficient, 163
Tests of H0:p=p0 164
Interpreting the Correlation Coefficient, 164
Chapter 13. Demography and Vital Statistics 168
Rates and Ratios, 169
Mortality Rates, 169
[x]
CONTENTS
Standardized Death Rates, 170
Infant and Neonatal Mortality Rates, 173
Birth Rates, 173
Morbidity Statistics, 174
Chapter 14. Life Tables 178
Construction of a Life Table from Mortality Rates, 178
The Abridged Life Table, 181
Life Tables from Follow Up Studies, 184
Appendix 190
A.1 Random Numbers, 190
A.2 Four Place Squares of Numbers, 193
A.3 The Standard Normal Distribution, 195
A.4 Percentage Points t[X] of Student's t Distribution, 199
A.5 Percentage Points x2W of the x2 Distribution, 201
A.6 Percentage Points F[X] of the F Distribution, 202
A.7 Confidence Intervals for the Correlation Coefficient, 208
Answers to Some of the Exercises 209
Index 215
[xi] |
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| genre | 1\p (DE-588)4123623-3 Lehrbuch gnd-content |
| genre_facet | Lehrbuch |
| id | DE-604.BV021942339 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:07:04Z |
| indexdate | 2024-07-09T20:47:54Z |
| institution | BVB |
| isbn | 0471227447 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015157489 |
| oclc_num | 3034612 |
| open_access_boolean | |
| owner | DE-706 DE-83 DE-188 |
| owner_facet | DE-706 DE-83 DE-188 |
| physical | 218 S. |
| psigel | TUB-nveb |
| publishDate | 1977 |
| publishDateSearch | 1977 |
| publishDateSort | 1977 |
| publisher | Wiley |
| record_format | marc |
| series2 | Wiley series in probability and mathematical statistics |
| spelling | Dunn, Olive Jean 1915-2008 Verfasser (DE-588)141533811 aut Basic statistics a primer for the biomedical sciences Olive Jean Dunn 2. ed. New York [u.a.] Wiley 1977 218 S. txt rdacontent n rdamedia nc rdacarrier Wiley series in probability and mathematical statistics medical research cabt biometry cabt frequency cabt graphs cabt random sampling cabt scales cabt rates cabt variance cabt statistics cabt Biométrie cabt Statistique médicale cabt Biometry Demography Medical statistics Biologische Medizin (DE-588)4126895-7 gnd rswk-swf Statistik (DE-588)4056995-0 gnd rswk-swf Biomedizin (DE-588)4647152-2 gnd rswk-swf Medizinische Statistik (DE-588)4127563-9 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Biologische Medizin (DE-588)4126895-7 s Statistik (DE-588)4056995-0 s 2\p DE-604 Biomedizin (DE-588)4647152-2 s 3\p DE-604 Medizinische Statistik (DE-588)4127563-9 s 4\p DE-604 Biostatistik (DE-588)4729990-3 s 5\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015157489&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dunn, Olive Jean 1915-2008 Basic statistics a primer for the biomedical sciences medical research cabt biometry cabt frequency cabt graphs cabt random sampling cabt scales cabt rates cabt variance cabt statistics cabt Biométrie cabt Statistique médicale cabt Biometry Demography Medical statistics Biologische Medizin (DE-588)4126895-7 gnd Statistik (DE-588)4056995-0 gnd Biomedizin (DE-588)4647152-2 gnd Medizinische Statistik (DE-588)4127563-9 gnd Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4126895-7 (DE-588)4056995-0 (DE-588)4647152-2 (DE-588)4127563-9 (DE-588)4729990-3 (DE-588)4123623-3 |
| title | Basic statistics a primer for the biomedical sciences |
| title_auth | Basic statistics a primer for the biomedical sciences |
| title_exact_search | Basic statistics a primer for the biomedical sciences |
| title_exact_search_txtP | Basic statistics a primer for the biomedical sciences |
| title_full | Basic statistics a primer for the biomedical sciences Olive Jean Dunn |
| title_fullStr | Basic statistics a primer for the biomedical sciences Olive Jean Dunn |
| title_full_unstemmed | Basic statistics a primer for the biomedical sciences Olive Jean Dunn |
| title_short | Basic statistics |
| title_sort | basic statistics a primer for the biomedical sciences |
| title_sub | a primer for the biomedical sciences |
| topic | medical research cabt biometry cabt frequency cabt graphs cabt random sampling cabt scales cabt rates cabt variance cabt statistics cabt Biométrie cabt Statistique médicale cabt Biometry Demography Medical statistics Biologische Medizin (DE-588)4126895-7 gnd Statistik (DE-588)4056995-0 gnd Biomedizin (DE-588)4647152-2 gnd Medizinische Statistik (DE-588)4127563-9 gnd Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | medical research biometry frequency graphs random sampling scales rates variance statistics Biométrie Statistique médicale Biometry Demography Medical statistics Biologische Medizin Statistik Biomedizin Medizinische Statistik Biostatistik Lehrbuch |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015157489&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT dunnolivejean basicstatisticsaprimerforthebiomedicalsciences |