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The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin
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
Opac: Controlla la disponibilità qui
The biostatistics of aging : from Gompertzian mortality and to an index of aging-relatedness / / Gilberto Levy, Bruce Levin
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
Opac: Controlla la disponibilità qui
Statistical methods for rates and proportions [[electronic resource]]
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
Opac: Controlla la disponibilità qui
Statistical methods for rates and proportions
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
Opac: Controlla la disponibilità qui