Biostatistics and microbiology: a survival manual
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2008
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 216 S. graph. Darst. |
| ISBN: | 9780387772813 9780387772820 0387772812 |
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Record in the Search Index
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| adam_text | Contents
Acknowledgements v
1 BioStatistics and Microbiology: Introduction 1
1.1 Normal Distribution 2
1.2 Mean 6
1.3 Variance and Standard Deviation 7
1.4 Mode of Sample Data 8
1.5 Median of Sample Data 8
1.6 Using Normal Distribution Tables 8
1.7 Standard Error of the Mean 12
1.8 Confidence Intervals 13
1.9 Hypothesis Testing 14
2 One-Sample Tests 15
2.1 Estimation of a One-Sample Mean 15
2.2 Comparing One Sample Group Mean to a Standard Value 20
2.2.1 Confidence Interval Approach 20
2.2.2 Use of the Student s t Test to Make the Determination
of a Sample Mean Different, Less than, or Greater than
a Standard Value 24
2.3 Determining Adequate Sample Sizes for One-Sample
Statistical Tests 28
2.3.1 Quick Sample Size Formula: Sample Set Mean
Versus a Standard Value 29
2.4 Detection Level 30
2.5 A More Accurate Method of Sample Size Determination 30
2.6 (Optional) Equivalency Testing 32
2.6.1 Nonsuperiority Test 35
2.6.2 Confidence Interval Approach to Superiority/Inferiority
Testing 37
3 Two-Sample Statistical Tests, Normal Distribution 41
3.1 Requirements of all t Tests 42
3.1.1 Two-Sample Independent t Test: Variances are not
Assumed Equivalent, of ^al 42
3.1.2 Two-Sample Pooled t Test: Variances are
Equivalent, of = a 45
3.1.3 Paired? Test 48
3.1.4 Sample Size Determination 52
vii
viii Table of Contents
3.2 Other Topics 55
3.2.1 Proportions 55
3.2.2 Optional Two-Sample Bioequivalency Testing 57
3.2.3 Two Independent Samples: Sample Variances
Assumed Equal 58
3.2.4 Confidence Interval Approach 61
4 Analysis of Variance 63
4.1 The Completely Randomized One-Factor ANOVA 64
4.2 Contrasts 71
4.3 Confidence Intervals 72
4.4 Sample Size Calculation 73
4.5 Randomized Block Design 74
4.6 Pair-wise Contrasts 79
4.7 100(1-a) Confidence Intervals 79
4.8 Sample Size Calculation 81
5 Regression and Correlation Analysis 83
5.1 Least Squares Equation 85
5.2 Strategy for Linearizing Data 89
5.3 The Power Scale 90
5.4 Using Regression Analysis 90
5.5 Predicting the Average y from an x Value 91
5.6 Predicting a Specific y Value from an x Value 92
5.7 Correlation 93
5.8 Correlation Coefficient: r 94
5.9 Coefficient of Determination: r2 96
5.10 Predicting an x Value from ay Value 97
5.11 Confidence Interval for a Specific Jf 99
5.12 Confidence Interval for the Average x Value 100
5.13 D-Value Calculation 100
6 Qualitative Data Analysis 101
6.1 Binomial Distribution 101
6.1.1 Version I: Mean, Variance, and Standard Deviation
Estimates for Predicting Outcome Events 101
6.1.2 Version II: Mean, Variance, and Standard Deviation
Estimates for Predicting Proportions or Percentages 102
6.2 Confidence Interval Estimation 102
6.2.1 Confidence Intervals on Proportions that are not Extreme
(Not Close to 0 or 1): The Yates Adjustment 104
6.2.2 Confidence Intervals on Proportions that are Extreme
(Close to 0 or 1) 104
6.3 Comparing Two Samples 105
6.3.1 Proportions: One Sample Compared to a Standard Value.... 105
6.3.2 Confidence Interval Approach 107
6.4 Comparing Two Sample Proportions 109
Table of Contents ix
6.5 Equivalence Testing: Proportions 112
6.5.1 Equivalence Testing: One Proportion Sample
Compared to a Standard 112
6.5.2 Confidence Interval Approach 114
6.5.3 Nonsuperiority 114
6.5.4 Two-Tail Test: Equivalence 115
6.5.5 Confidence Interval 116
6.6 Two-Sample Equivalence: Proportions 116
7 Nonparametric Statistical Methods 121
7.1 Comparing Two Independent Samples: Nominal Scale Data 123
7.1.1 Comparing Two Independent Samples: 2 x 2 Chi
Square Test 123
7.1.2 Comparing Two Related Samples: Nominal Scale Data 126
7.1.3 Comparing More than Two Independent Samples:
Nominal Scale Data 129
7.1.4 Comparing More than Two Related Samples:
Nominal Scale Data 132
7.2 Ordinal Scale Data: Rankable 133
7.2.1 Comparing Two Independent Sample Sets: Ordinal Data.... 133
7.2.2 Comparing Two Related Sample Sets: Ordinal Data 138
7.2.3 Comparing More than Two Independent Samples:
Ordinal or Interval Data 142
7.2.4 Multiple Contrasts 146
7.2.5 Comparing More than Two Related Samples:
Ordinal Data 147
7.3 Interval-Ratio Scale Data 152
7.3.1 Comparing Two Independent Samples: Interval-Ratio
Data 152
7.3.2 Comparing Two Related or Paired Samples:
Interval-Ratio Data 154
7.3.3 Independent Samples, n 2: Interval-Ratio Data 157
7.3.4 Related Samples, n 2: Interval-Ratio Data 157
Appendix: Tables of Mathematical Values 163
Table A.I Student s t table (percentage points of the / distribution) 164
Table A.2 Z-table (normal curve areas [entries in the body of the table
give the area under the standard normal curve from 0 toz]) 165
Table A.3 Studentized range table 166
Table A.4 F distribution tables 168
Table A.5 Chi square table 173
Table A.6 Quantiles of the Mann-Whitney test statistic 174
Table A.7 Binomial probability distribution 178
Table A.8 Critical values of the Kruskal-Wallis test 207
Table A.9 Friedman ANOVA table 209
Table A.10 Wilcoxon table 211
Index 213
|
| adam_txt |
Contents
Acknowledgements v
1 BioStatistics and Microbiology: Introduction 1
1.1 Normal Distribution 2
1.2 Mean 6
1.3 Variance and Standard Deviation 7
1.4 Mode of Sample Data 8
1.5 Median of Sample Data 8
1.6 Using Normal Distribution Tables 8
1.7 Standard Error of the Mean 12
1.8 Confidence Intervals 13
1.9 Hypothesis Testing 14
2 One-Sample Tests 15
2.1 Estimation of a One-Sample Mean 15
2.2 Comparing One Sample Group Mean to a Standard Value 20
2.2.1 Confidence Interval Approach 20
2.2.2 Use of the Student's t Test to Make the Determination
of a Sample Mean Different, Less than, or Greater than
a Standard Value 24
2.3 Determining Adequate Sample Sizes for One-Sample
Statistical Tests 28
2.3.1 Quick Sample Size Formula: Sample Set Mean
Versus a Standard Value 29
2.4 Detection Level 30
2.5 A More Accurate Method of Sample Size Determination 30
2.6 (Optional) Equivalency Testing 32
2.6.1 Nonsuperiority Test 35
2.6.2 Confidence Interval Approach to Superiority/Inferiority
Testing 37
3 Two-Sample Statistical Tests, Normal Distribution 41
3.1 Requirements of all t Tests 42
3.1.1 Two-Sample Independent t Test: Variances are not
Assumed Equivalent, of ^al 42
3.1.2 Two-Sample Pooled t Test: Variances are
Equivalent, of = a\ 45
3.1.3 Paired? Test 48
3.1.4 Sample Size Determination 52
vii
viii Table of Contents
3.2 Other Topics 55
3.2.1 Proportions 55
3.2.2 Optional Two-Sample Bioequivalency Testing 57
3.2.3 Two Independent Samples: Sample Variances
Assumed Equal 58
3.2.4 Confidence Interval Approach 61
4 Analysis of Variance 63
4.1 The Completely Randomized One-Factor ANOVA 64
4.2 Contrasts 71
4.3 Confidence Intervals 72
4.4 Sample Size Calculation 73
4.5 Randomized Block Design 74
4.6 Pair-wise Contrasts 79
4.7 100(1-a) Confidence Intervals 79
4.8 Sample Size Calculation 81
5 Regression and Correlation Analysis 83
5.1 Least Squares Equation 85
5.2 Strategy for Linearizing Data 89
5.3 The Power Scale 90
5.4 Using Regression Analysis 90
5.5 Predicting the Average y from an x Value 91
5.6 Predicting a Specific y Value from an x Value 92
5.7 Correlation 93
5.8 Correlation Coefficient: r 94
5.9 Coefficient of Determination: r2 96
5.10 Predicting an x Value from ay Value 97
5.11 Confidence Interval for a Specific Jf 99
5.12 Confidence Interval for the Average x Value 100
5.13 D-Value Calculation 100
6 Qualitative Data Analysis 101
6.1 Binomial Distribution 101
6.1.1 Version I: Mean, Variance, and Standard Deviation
Estimates for Predicting Outcome Events 101
6.1.2 Version II: Mean, Variance, and Standard Deviation
Estimates for Predicting Proportions or Percentages 102
6.2 Confidence Interval Estimation 102
6.2.1 Confidence Intervals on Proportions that are not Extreme
(Not Close to 0 or 1): The Yates Adjustment 104
6.2.2 Confidence Intervals on Proportions that are Extreme
(Close to 0 or 1) 104
6.3 Comparing Two Samples 105
6.3.1 Proportions: One Sample Compared to a Standard Value. 105
6.3.2 Confidence Interval Approach 107
6.4 Comparing Two Sample Proportions 109
Table of Contents ix
6.5 Equivalence Testing: Proportions 112
6.5.1 Equivalence Testing: One Proportion Sample
Compared to a Standard 112
6.5.2 Confidence Interval Approach 114
6.5.3 Nonsuperiority 114
6.5.4 Two-Tail Test: Equivalence 115
6.5.5 Confidence Interval 116
6.6 Two-Sample Equivalence: Proportions 116
7 Nonparametric Statistical Methods 121
7.1 Comparing Two Independent Samples: Nominal Scale Data 123
7.1.1 Comparing Two Independent Samples: 2 x 2 Chi
Square Test 123
7.1.2 Comparing Two Related Samples: Nominal Scale Data 126
7.1.3 Comparing More than Two Independent Samples:
Nominal Scale Data 129
7.1.4 Comparing More than Two Related Samples:
Nominal Scale Data 132
7.2 Ordinal Scale Data: Rankable 133
7.2.1 Comparing Two Independent Sample Sets: Ordinal Data. 133
7.2.2 Comparing Two Related Sample Sets: Ordinal Data 138
7.2.3 Comparing More than Two Independent Samples:
Ordinal or Interval Data 142
7.2.4 Multiple Contrasts 146
7.2.5 Comparing More than Two Related Samples:
Ordinal Data 147
7.3 Interval-Ratio Scale Data 152
7.3.1 Comparing Two Independent Samples: Interval-Ratio
Data 152
7.3.2 Comparing Two Related or Paired Samples:
Interval-Ratio Data 154
7.3.3 Independent Samples, n 2: Interval-Ratio Data 157
7.3.4 Related Samples, n 2: Interval-Ratio Data 157
Appendix: Tables of Mathematical Values 163
Table A.I Student's t table (percentage points of the / distribution) 164
Table A.2 Z-table (normal curve areas [entries in the body of the table
give the area under the standard normal curve from 0 toz]) 165
Table A.3 Studentized range table 166
Table A.4 F distribution tables 168
Table A.5 Chi square table 173
Table A.6 Quantiles of the Mann-Whitney test statistic 174
Table A.7 Binomial probability distribution 178
Table A.8 Critical values of the Kruskal-Wallis test 207
Table A.9 Friedman ANOVA table 209
Table A.10 Wilcoxon table 211
Index 213 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T20:07:06Z |
| indexdate | 2024-07-09T21:12:51Z |
| institution | BVB |
| isbn | 9780387772813 9780387772820 0387772812 |
| language | English |
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| spelling | Paulson, Daryl S. Verfasser aut Biostatistics and microbiology a survival manual Daryl S. Paulson New York, NY Springer 2008 IX, 216 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Biometry Biometry methods Microbiology Microbiology Statistical methods Mikrobiologie (DE-588)4316357-9 gnd rswk-swf Biostatistik (DE-588)4729990-3 gnd rswk-swf Biostatistik (DE-588)4729990-3 s Mikrobiologie (DE-588)4316357-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016384188&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Paulson, Daryl S. Biostatistics and microbiology a survival manual Biometry Biometry methods Microbiology Microbiology Statistical methods Mikrobiologie (DE-588)4316357-9 gnd Biostatistik (DE-588)4729990-3 gnd |
| subject_GND | (DE-588)4316357-9 (DE-588)4729990-3 |
| title | Biostatistics and microbiology a survival manual |
| title_auth | Biostatistics and microbiology a survival manual |
| title_exact_search | Biostatistics and microbiology a survival manual |
| title_exact_search_txtP | Biostatistics and microbiology a survival manual |
| title_full | Biostatistics and microbiology a survival manual Daryl S. Paulson |
| title_fullStr | Biostatistics and microbiology a survival manual Daryl S. Paulson |
| title_full_unstemmed | Biostatistics and microbiology a survival manual Daryl S. Paulson |
| title_short | Biostatistics and microbiology |
| title_sort | biostatistics and microbiology a survival manual |
| title_sub | a survival manual |
| topic | Biometry Biometry methods Microbiology Microbiology Statistical methods Mikrobiologie (DE-588)4316357-9 gnd Biostatistik (DE-588)4729990-3 gnd |
| topic_facet | Biometry Biometry methods Microbiology Microbiology Statistical methods Mikrobiologie Biostatistik |
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