The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin |
Autore | Levy Gilberto |
Pubbl/distr/stampa | Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] |
Descrizione fisica | 1 online resource (270 p.) |
Disciplina | 571.8/78 |
Altri autori (Persone) | LevinBruce A |
Soggetto topico |
Aging - Statistical methods
Mortality - Statistical methods Life spans (Biology) |
ISBN |
1-118-64584-7
1-118-64567-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
THE BIOSTATISTICS OF AGING: From Gompertzian Mortality to an Index of Aging-Relatedness; Copyright; CONTENTS; PREFACE AND ACKNOWLEDGMENT; 1 Introduction; 2 An Account of Gompertzian Mortality through Statistical and Evolutionary Arguments; 2.1 The Statistical Theory of Extreme Values; 2.1.1 Background to Results; 2.1.2 Original Results; 2.2 The Evolutionary Theory of Aging; 2.2.1 The Argument for Gompertzian Mortality; 2.2.2 Boundaries of the Argument; 3 The Argument against Gompertzian Mortality; 3.1 Departures from the Gompertz Model; 3.2 An Evolution-Based Model of Causation
4 The Index of Aging-Relatedness 4.1 A Survival Mixture Model of the Gompertz and Weibull Distributions; 4.2 Definition and Interpretation of the Index of Aging-Relatedness; 4.3 The Survival Mixture Model and Competing Risks; 4.4 Estimation of the Model Parameters; 4.5 Illustrative Application: The Israeli Ischemic Heart Disease Study; 4.6 Precision of Estimation; 5 Discussion: Implications; 5.1 The Meaning of the Gompertz Parameter; 5.2 Age as a Risk Factor for Disease; 5.3 Are Aging-Related Diseases an Integral Part of Aging?; 5.4 Biological versus Chronological Aging 5.5 The Public Health Notion of Compression of Morbidity 5.6 A Picture of Aging for the Twenty-First Century; APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITH SOME EXTENSIONS; APPENDIX B: DERIVATION OF HAMILTON'S EQUATION FOR THE FORCE OF NATURAL SELECTION ON MORTALITY; APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS; APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OF THE MIXTURE LOG-LIKELIHOOD FUNCTION; APPENDIX E: EXPECTATION-CONDITIONAL MAXIMIZATION(ECM) ALGORITHM; APPENDIX F: R PROGRAM; REFERENCES; AUTHOR INDEX; SUBJECT INDEX |
Record Nr. | UNINA-9910132241703321 |
Levy Gilberto | ||
Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin |
Autore | Levy Gilberto |
Pubbl/distr/stampa | Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] |
Descrizione fisica | 1 online resource (270 p.) |
Disciplina | 571.8/78 |
Altri autori (Persone) | LevinBruce A |
Soggetto topico |
Aging - Statistical methods
Mortality - Statistical methods Life spans (Biology) |
ISBN |
1-118-64584-7
1-118-64567-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
THE BIOSTATISTICS OF AGING: From Gompertzian Mortality to an Index of Aging-Relatedness; Copyright; CONTENTS; PREFACE AND ACKNOWLEDGMENT; 1 Introduction; 2 An Account of Gompertzian Mortality through Statistical and Evolutionary Arguments; 2.1 The Statistical Theory of Extreme Values; 2.1.1 Background to Results; 2.1.2 Original Results; 2.2 The Evolutionary Theory of Aging; 2.2.1 The Argument for Gompertzian Mortality; 2.2.2 Boundaries of the Argument; 3 The Argument against Gompertzian Mortality; 3.1 Departures from the Gompertz Model; 3.2 An Evolution-Based Model of Causation
4 The Index of Aging-Relatedness 4.1 A Survival Mixture Model of the Gompertz and Weibull Distributions; 4.2 Definition and Interpretation of the Index of Aging-Relatedness; 4.3 The Survival Mixture Model and Competing Risks; 4.4 Estimation of the Model Parameters; 4.5 Illustrative Application: The Israeli Ischemic Heart Disease Study; 4.6 Precision of Estimation; 5 Discussion: Implications; 5.1 The Meaning of the Gompertz Parameter; 5.2 Age as a Risk Factor for Disease; 5.3 Are Aging-Related Diseases an Integral Part of Aging?; 5.4 Biological versus Chronological Aging 5.5 The Public Health Notion of Compression of Morbidity 5.6 A Picture of Aging for the Twenty-First Century; APPENDIX A: PROOFS OF RESULTS IN SECTION 2.1.2 WITH SOME EXTENSIONS; APPENDIX B: DERIVATION OF HAMILTON'S EQUATION FOR THE FORCE OF NATURAL SELECTION ON MORTALITY; APPENDIX C: SOME PROPERTIES OF THE GOMPERTZ AND WEIBULL DISTRIBUTIONS; APPENDIX D: FIRST AND SECOND PARTIAL DERIVATIVES OF THE MIXTURE LOG-LIKELIHOOD FUNCTION; APPENDIX E: EXPECTATION-CONDITIONAL MAXIMIZATION(ECM) ALGORITHM; APPENDIX F: R PROGRAM; REFERENCES; AUTHOR INDEX; SUBJECT INDEX |
Record Nr. | UNINA-9910818426803321 |
Levy Gilberto | ||
Hoboken, NJ : , : John Wiley & Sons Inc., , [2014] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Statistical methods for rates and proportions [[electronic resource]] |
Autore | Fleiss Joseph L |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Hoboken, N.J., : J. Wiley, c2003 |
Descrizione fisica | 1 online resource (798 p.) |
Disciplina |
519.5
519.538 |
Altri autori (Persone) |
LevinBruce A
PaikMyunghee Cho |
Collana | Wiley series in probability and statistics |
Soggetto topico |
Analysis of variance
Sampling (Statistics) Biometry |
ISBN |
1-118-62561-7
1-280-36624-9 9786610366248 0-470-30894-X 0-471-45861-9 0-471-44542-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Statistical Methods for Rates and Proportions THIRD EDITION; Contents; Preface; Preface to the Second Edition; Preface to the First Edition; 1. An Introduction to Applied Probability; 1.1. Notation and Definitions; 1.2. The Rule of Total Probability; 1.3. The Evaluation of a Screening Test; 1.4. Biases Resulting from the Study of Selected Samples; Problems; References; 2. Statistical Inference for a Single Proportion; 2.1. Exact Inference for a Single Proportion: Hypothesis Tests; 2.2. Exact Inference for a Single Proportion: Interval Estimation
2.2.1. Definition of an Exact Confidence Interval2.2.2. A Fundamental Property of Confidence Intervals; 2.3. Using the F Distribution; 2.4. Approximate Inference for a Single Proportion; 2.4.1. Hypothesis Tests; 2.4.2. Confidence Intervals; 2.5. Sample Size for a One-Sample Study; 2.5.1. Sample Size for Hypothesis Tests; 2.5.2. Sample Size for Confidence Intervals; 2.6.* Standard Errors by the Delta Method; 2.7.* Alternative Definitions of Two-Sided P-Values and Confidence Intervals; 2.7.1. The Point Probability Method; 2.7.2. The Tail Probability Method; 2.7.3. The Likelihood Ratio Method 2.7.4. Some Concluding RemarksProblems; References; 3. Assessing Significance in a Fourfold Table; 3.1. Methods for Generating a Fourfold Table; 3.2. ""Exact"" Analysis of a Fourfold Table; 3.3. Yates' Correction for Continuity; 3.4. One-Tailed versus Two-Tailed Tests; 3.5. A Simple Confidence Interval for the Difference between Two Independent Proportions; 3.6. An Alternative Critical Ratio Test; Problems; References; 4. Determining Sample Sizes Needed to Detect a Difference between Two Proportions; 4.1. Specifying a Difference Worth Detecting 4.2. The Mathematics of Sample Size Determination4.3. Using the Sample Size Tables; 4.4. Unequal Sample Sizes; 4.5. Some Additional Uses of the Tables; 4.6. Some Additional Comments; Problems; References; 5. How to Randomize; 5.1. Selecting a Simple Random Sample; 5.2. Randomization in a Clinical Trial; 5.3. Variations on Simple Randomization; References; 6. Comparative Studies: Cross-sectional, Naturalistic, or Multinomial Sampling; 6.1. Some Hypothetical Data; 6.2. Measures of Association Derived from X(2); 6.3. The Odds Ratio and Its Logarithm 6.4. Exact Inference for an Odds Ratio: Hypothesis Tests6.5. Exact Inference for an Odds Ratio: Confidence Intervals; 6.6. Approximate Inference for an Odds Ratio; 6.6.1. Hypothesis Tests; 6.6.2. Confidence Intervals; 6.6.3.* A Confidence Interval Method to Be Avoided; 6.7. Criticisms of the Odds Ratio; 6.8. Attributable Risk; 6.9.* Standard Errors for Measures of Association; Problems; References; 7. Comparative Studies: Prospective and Retrospective Sampling; 7.1. Prospective Studies; 7.2. Retrospective Studies; 7.3. Estimating Attributable Risk from Retrospective Studies 7.4. The Retrospective Approach versus the Prospective Approach |
Record Nr. | UNINA-9910146248303321 |
Fleiss Joseph L | ||
Hoboken, N.J., : J. Wiley, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Statistical methods for rates and proportions |
Autore | Fleiss Joseph L |
Edizione | [3rd ed.] |
Pubbl/distr/stampa | Hoboken, N.J., : J. Wiley, c2003 |
Descrizione fisica | 1 online resource (798 p.) |
Disciplina |
519.5
519.538 |
Altri autori (Persone) |
LevinBruce A
PaikMyunghee Cho |
Collana | Wiley series in probability and statistics |
Soggetto topico |
Analysis of variance
Sampling (Statistics) Biometry |
ISBN |
1-118-62561-7
1-280-36624-9 9786610366248 0-470-30894-X 0-471-45861-9 0-471-44542-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Statistical Methods for Rates and Proportions THIRD EDITION; Contents; Preface; Preface to the Second Edition; Preface to the First Edition; 1. An Introduction to Applied Probability; 1.1. Notation and Definitions; 1.2. The Rule of Total Probability; 1.3. The Evaluation of a Screening Test; 1.4. Biases Resulting from the Study of Selected Samples; Problems; References; 2. Statistical Inference for a Single Proportion; 2.1. Exact Inference for a Single Proportion: Hypothesis Tests; 2.2. Exact Inference for a Single Proportion: Interval Estimation
2.2.1. Definition of an Exact Confidence Interval2.2.2. A Fundamental Property of Confidence Intervals; 2.3. Using the F Distribution; 2.4. Approximate Inference for a Single Proportion; 2.4.1. Hypothesis Tests; 2.4.2. Confidence Intervals; 2.5. Sample Size for a One-Sample Study; 2.5.1. Sample Size for Hypothesis Tests; 2.5.2. Sample Size for Confidence Intervals; 2.6.* Standard Errors by the Delta Method; 2.7.* Alternative Definitions of Two-Sided P-Values and Confidence Intervals; 2.7.1. The Point Probability Method; 2.7.2. The Tail Probability Method; 2.7.3. The Likelihood Ratio Method 2.7.4. Some Concluding RemarksProblems; References; 3. Assessing Significance in a Fourfold Table; 3.1. Methods for Generating a Fourfold Table; 3.2. ""Exact"" Analysis of a Fourfold Table; 3.3. Yates' Correction for Continuity; 3.4. One-Tailed versus Two-Tailed Tests; 3.5. A Simple Confidence Interval for the Difference between Two Independent Proportions; 3.6. An Alternative Critical Ratio Test; Problems; References; 4. Determining Sample Sizes Needed to Detect a Difference between Two Proportions; 4.1. Specifying a Difference Worth Detecting 4.2. The Mathematics of Sample Size Determination4.3. Using the Sample Size Tables; 4.4. Unequal Sample Sizes; 4.5. Some Additional Uses of the Tables; 4.6. Some Additional Comments; Problems; References; 5. How to Randomize; 5.1. Selecting a Simple Random Sample; 5.2. Randomization in a Clinical Trial; 5.3. Variations on Simple Randomization; References; 6. Comparative Studies: Cross-sectional, Naturalistic, or Multinomial Sampling; 6.1. Some Hypothetical Data; 6.2. Measures of Association Derived from X(2); 6.3. The Odds Ratio and Its Logarithm 6.4. Exact Inference for an Odds Ratio: Hypothesis Tests6.5. Exact Inference for an Odds Ratio: Confidence Intervals; 6.6. Approximate Inference for an Odds Ratio; 6.6.1. Hypothesis Tests; 6.6.2. Confidence Intervals; 6.6.3.* A Confidence Interval Method to Be Avoided; 6.7. Criticisms of the Odds Ratio; 6.8. Attributable Risk; 6.9.* Standard Errors for Measures of Association; Problems; References; 7. Comparative Studies: Prospective and Retrospective Sampling; 7.1. Prospective Studies; 7.2. Retrospective Studies; 7.3. Estimating Attributable Risk from Retrospective Studies 7.4. The Retrospective Approach versus the Prospective Approach |
Record Nr. | UNINA-9910877787903321 |
Fleiss Joseph L | ||
Hoboken, N.J., : J. Wiley, c2003 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|