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Branch of statistics
Survival analysis is a branch of statistics for analyzing the expected duration of time until one event occurs, such as death in biological organisms
Survival_analysis
Concept; act of surviving
existence, whereas the term survival suggests mere temporal extension, a continuation of the status quo ante. Survival analysis is a branch of statistics
Survival
Statistical method
Survival analysis is normally carried out using parametric models, semi-parametric models, non-parametric models to estimate the survival rate in clinical
Bayesian_survival_analysis
Probability of survival beyond any specified time
distribution function (CDF). In survival analysis, the cumulative distribution function gives the probability that the survival time is less than or equal
Survival_function
Non-parametric statistic used to estimate the survival function
the Survival Analysis menu. SPSS: The Kaplan–Meier estimator is implemented in the Analyze > Survival > Kaplan-Meier... menu. Julia: the Survival.jl package
Kaplan–Meier_estimator
Calculation in epidemiology
Relative survival of a disease, in survival analysis, is calculated by dividing the overall survival after diagnosis by the survival as observed in a
Relative_survival
Type of survival rate
five-year survival rates. Prognosis – Medical term for the likely development of a disease Relative survival – Calculation in epidemiology Survival analysis –
Five-year_survival_rate
Medical term for the likely development of a disease
specific illness, including psychiatric Survival analysis – Branch of statistics Survival rate – Medical analysis of disease Symptom – Indications of a
Prognosis
Method of data analysis
Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data
Principal_component_analysis
Medical analysis of disease
Survival rate is a part of survival analysis. It is the proportion of people in a study or treatment group still alive at a given period of time after
Survival_rate
Collection of statistical models
Analysis of variance (ANOVA) is a family of statistical methods used to compare the means of two or more groups by analyzing variance. Specifically, ANOVA
Analysis_of_variance
Branch of survival analysis
Recurrent event analysis is a branch of survival analysis that analyzes the time until recurrences occur, such as recurrences of traits or diseases. Recurrent
Recurrent_event_analysis
and public health areas and normally called survival analysis. In engineering, the time-to-event analysis is referred to as reliability theory and in
Hypertabastic_survival_models
Set of statistical processes for estimating the relationships among variables
In statistical modeling, regression analysis is a statistical method for estimating the relationship between a dependent variable (often called the outcome
Regression_analysis
Diagnostic plot of binary classifier ability
can be generalized to multiple classes) at varying threshold values. ROC analysis is commonly applied in the assessment of diagnostic test performance in
Receiver operating characteristic
Receiver_operating_characteristic
Simultaneous observation and analysis of more than one outcome variable
subdivision of statistics encompassing the simultaneous observation and analysis of more than one outcome variable, i.e., multivariate random variables
Multivariate_statistics
Method of statistical inference
statistics. Bayesian updating is particularly important in the dynamic analysis of a sequence of data. Bayesian inference has found application in a wide
Bayesian_inference
Parametric model in survival analysis
In the statistical area of survival analysis, an accelerated failure time model (AFT model) is a parametric model that provides an alternative to the
Accelerated failure time model
Accelerated_failure_time_model
Method used in statistics, pattern recognition, and other fields
Linear discriminant analysis (LDA), normal discriminant analysis (NDA), canonical variates analysis (CVA), or discriminant function analysis is a generalization
Linear_discriminant_analysis
Sequence of data points over time
science and engineering that involve temporal measurements. Time series analysis comprises methods for analyzing time series data in order to extract meaningful
Time_series
Statistical method
Factor analysis is a statistical method used to describe variability among observed, correlated variables in terms of a potentially lower number of unobserved
Factor_analysis
Statistic which divides a data set into 100 parts and analyzes it as a percentage
(2013-12-31). Statistical Models and Methods for Reliability and Survival Analysis. John Wiley & Sons. ISBN 978-1-84821-619-8. Hyndman, Rob J.; Fan,
Percentile
Open-source data analysis software
(hyper)spectral datasets. Survival analysis: add-on for data analysis dealing with survival data. It includes widgets for standard survival analysis techniques, such
Orange_(software)
Statistical model for a binary dependent variable
Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis. New York: Springer. ISBN 978-1-4419-2918-1.[page needed] https://class
Logistic_regression
2025 book by Luke Kemp
research presented in the article "The vulnerability of aging states: A survival analysis across premodern societies" by Marten Scheffer, Egbert van Nes, Luke
Goliath's_Curse
Measure of distance between two proportions
size Sample size determination Cohen, Jacob (1988). Statistical Power Analysis for the Behavioral Sciences (2nd ed.). Yu, Xiaonan; et al. (2012). "The
Cohen's_h
Process of using data analysis for predicting population data from sample data
on Survival Analysis applied to the Financial Industry. Archived from the original on Jan 16, 2026. Kruskal 1988 Freedman, D.A. (2008) "Survival analysis:
Statistical_inference
Theorized increase of longevity with age
he undertakes a regular weekly or even monthly program, his chances of survival beyond the first season are slight; but if he adopts the conservation of
Lindy_effect
Statistical analysis where the sample size is not fixed in advance
Clinical Statistics: Introducing Clinical Trials, Survival Analysis, and Longitudinal Data Analysis (First ed.). Jones and Bartlett Publishers. ISBN 978-0-7637-5850-9
Sequential_analysis
Measure of linear correlation
_{\epsilon _{x}},\sigma _{\epsilon _{y}}} ) is needed. Canonical Correlation Analysis has an analogous issue. A generalization of the approach for CCA, and with
Pearson correlation coefficient
Pearson_correlation_coefficient
Empirical law on the variance of species in a habitat
is a parameter derived from Taylor's law. Sequential analysis is a method of statistical analysis where the sample size is not fixed in advance. Instead
Taylor's_law
Theory and technique of psychological measurement
Cluster analysis is an approach to finding objects that are like each other. Factor analysis, multidimensional scaling, and cluster analysis are all multivariate
Psychometrics
hazards models (Cox models) for survival data Importance: Topic creator, Breakthrough, Influence The Statistical Analysis of Failure Time Data Author: Kalbfleisch
List of publications in statistics
List_of_publications_in_statistics
Range to estimate an unknown parameter
size confidence intervals and tests of close fit in the analysis of variance and contrast analysis". Psychological Methods. 9 (2): 164–182. doi:10.1037/1082-989x
Confidence_interval
Class of statistical survival models
Proportional hazards models are a class of survival models in statistics. Survival models relate the time that passes, before some event occurs, to one
Proportional_hazards_model
Unit of information
collected using techniques such as measurement, observation, query, or analysis, and is typically represented as numbers or characters that may be further
Data
Grouping a set of objects by similarity
Cluster analysis, or clustering, is a data analysis technique aimed at partitioning a set of objects into groups such that objects within the same group
Cluster_analysis
Study of collection and analysis of data
Statistical classification Structured data analysis Structural equation modelling Survey methodology Survival analysis Statistics in various sports, particularly
Statistics
Test of normality in frequentist statistics
Lilliefors test Normal probability plot Shapiro, S. S.; Wilk, M. B. (1965). "An analysis of variance test for normality (complete samples)". Biometrika. 52 (3–4):
Shapiro–Wilk_test
Medical ratio
In survival analysis, the hazard ratio (HR) is the ratio of the hazard rates corresponding to the conditions characterised by two distinct levels of a
Hazard_ratio
Concept in statistical analysis
Bivariate analysis is one of the simplest forms of quantitative (statistical) analysis. It involves the analysis of two variables (often denoted as X, Y)
Bivariate_analysis
Statistical model for count data
Poisson regression creates proportional hazards models, one class of survival analysis: see proportional hazards models for descriptions of Cox models. When
Poisson_regression
Number taken as representative of a list of numbers
central tendency are the often characterized properties of distributions. Analysis may judge whether data has a strong or a weak central tendency based on
Average
Statistical measure of variability
10476408. hdl:2027.42/142454. Ruppert, D. (2010). Statistics and Data Analysis for Financial Engineering. Springer. p. 118. ISBN 9781441977878. Retrieved
Median_absolute_deviation
Function in actuarial science
instantaneous rate at which deaths occur at age x, conditional on survival to age x. In survival analysis it corresponds to the hazard function, and in reliability
Force_of_mortality
Numerical measure of a statistical relationship between variables
strongest possible correlation and 0 indicates no correlation. As tools of analysis, correlation coefficients present certain problems, including the propensity
Correlation_coefficient
Measure of statistical dispersion
"Explicit Scale Estimators with High Breakdown Point" (PDF). L1-Statistical Analysis and Related Methods. Amsterdam: North-Holland. pp. 77–92. Yule, G. Udny
Interquartile_range
Condition in which the value of a measurement or observation is only partially known
numerator. Data analysis Detection limit Imputation (statistics) Inverse probability weighting Sampling bias Saturation arithmetic Survival analysis Winsorising
Censoring_(statistics)
Study of health and disease within a population
Epidemiology is the study and analysis of the distribution (who, when, and where), patterns and determinants of health and disease conditions in a defined
Epidemiology
Statistical method that summarizes and/or integrates data from multiple sources
Meta-analysis is a method of synthesis of quantitative data from multiple independent studies addressing a common research question. An important part
Meta-analysis
Continuous probability distribution for a non-negative random variable
probability distribution for a non-negative random variable. It is used in survival analysis as a parametric model for events whose rate increases initially and
Log-logistic_distribution
Design of tasks
possible decision to stop experimenting, is within the scope of sequential analysis, a field that was pioneered by Abraham Wald in the context of sequential
Design_of_experiments
American statistician
data visualization,[A] equivalences between binary regression and survival analysis,[B] and robust regression.[C] Gasko completed her Ph.D. in statistics
Miriam_Gasko_Donoho
General linear model that blends ANOVA and regression
Analysis of covariance (ANCOVA) is a general linear model that blends ANOVA and regression. ANCOVA evaluates whether the means of a dependent variable
Analysis_of_covariance
Continuous probability distribution
distribution is used[citation needed] In survival analysis In reliability engineering and failure analysis In electrical engineering to represent overvoltage
Weibull_distribution
Measure of the joint variability
different assets that investors should (in a normative analysis) or are predicted to (in a positive analysis) choose to hold in a context of diversification
Covariance
Type of statistics
theory, and are frequently nonparametric statistics. Even when a data analysis draws its main conclusions using inferential statistics, descriptive statistics
Descriptive_statistics
How many standard deviations apart from the mean an observed datum is
some multivariate techniques such as multidimensional scaling and cluster analysis, the concept of distance between the units in the data is often of considerable
Standard_score
Data visualization
Tukey, who later published on the subject in his book "Exploratory Data Analysis" in 1977. A box plot is a standardized way of displaying the dataset based
Box_plot
Concept in inferential statistics
of a hypothesis. Some journals encouraged authors to do more detailed analysis than just a statistical significance test. In social psychology, the journal
Statistical_significance
Overview of and topical guide to statistics
(statistics) Survival analysis Density estimation Kernel density estimation Multivariate kernel density estimation Time series Time series analysis Box–Jenkins
Outline_of_statistics
Statistical sampling technique
Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code". Technometrics. 21 (2). American Statistical
Latin_hypercube_sampling
Statistical term
to any form of multiple regression analysis, factor analysis, canonical correlation analysis, discriminant analysis, as well as more general families of
Path_analysis_(statistics)
Procedure for comparing multivariate sample means
In statistics, multivariate analysis of variance (MANOVA) is a procedure for comparing multivariate sample means. As a multivariate procedure, it is used
Multivariate analysis of variance
Multivariate_analysis_of_variance
Nonparametric measure of rank correlation
F., eds. (2004). Grade Models and Methods for Data Analysis with Applications for the Analysis of Data Populations. Studies in Fuzziness and Soft Computing
Spearman's rank correlation coefficient
Spearman's_rank_correlation_coefficient
Apparent lack of pattern or predictability in events
mutations in the gene pool due to the systematically improved chance for survival and reproduction that those mutated genes confer on individuals who possess
Randomness
multivariate statistics. Survival analysis includes Cox regression (Proportional hazards model) and Kaplan–Meier survival analysis. Procedures for method
MedCalc
Award
Statistics "International Prize in Statistics Awarded to Sir David Cox for Survival Analysis Model Applied in Medicine, Science, and Engineering" (PDF). "International
International Prize in Statistics
International_Prize_in_Statistics
American statistician (born 1945)
the fields of statistical inference, empirical process theory, and survival analysis. Wellner was born in Portland, Oregon, and grew up in various cities
Jon_A._Wellner
Middle quantile of a data set or probability distribution
optimization-based definition of the median is useful in statistical data-analysis, for example, in k-medians clustering. If the distribution has finite variance
Median
Sub-discipline of systems engineering that emphasizes dependability
Hypertabastic survival models Thermal analysis by finite element analysis (FEA) and / or measurement Thermal induced, shock and vibration fatigue analysis by FEA
Reliability_engineering
Statistical hypothesis test
size are described at these websites. Power Analysis for Two-group Independent sample t-test | R Data Analysis Examples G*Power Ps Commercial software packages
Student's_t-test
Frequency with which an engineered system or component fails
diagnostic analysis Force of mortality Frequency of exceedance Reliability engineering Reliability theory Reliability theory of aging and longevity Survival analysis
Failure_rate
Hypothesis test to compare the survival distributions of two samples
The logrank test, or log-rank test, is a hypothesis test to compare the survival distributions of two samples. It is a nonparametric test and appropriate
Logrank_test
Statistical hypothesis test
(also chi-square or χ2 test) is a statistical hypothesis test used in the analysis of contingency tables when the sample sizes are large. In simpler terms
Chi-squared_test
Conditional probability used in Bayesian statistics
David B. Dunson, Aki Vehtari and Donald B. Rubin (2014). Bayesian Data Analysis. CRC Press. p. 7. ISBN 978-1-4398-4095-5.{{cite book}}: CS1 maint: multiple
Posterior_probability
Sampling from a population which can be partitioned into subpopulations
entire population) can have a deleterious effect on the performance of any analysis on the dataset, e.g. classification. In that regard, minimax sampling ratio
Stratified_sampling
Table that displays the frequency of variables
theory of evolution. Dulau and Co. Ferguson, G. A. (1966). Statistical analysis in psychology and education. New York: McGraw–Hill. Smith, S. C., & Albaum
Contingency_table
Class of CNS depressant drugs
outcome after discontinuation of benzodiazepines for insomnia: a survival analysis of relapse". Behaviour Research and Therapy. 43 (1): 1–14. doi:10
Benzodiazepine
Survival model in actuarial science
Law is a survival model applied in actuarial science, named for Abraham de Moivre. It is a simple law of mortality based on a linear survival function
De_Moivre's_law
Function for integral Fourier-like transform
EMG, ECG analyses, brain rhythms, DNA analysis, protein analysis, climatology, human sexual response analysis, general signal processing, speech recognition
Wavelet
Type of statistical measure over subsets of a dataset
Time. Cambridge University Press. p. 88. ISBN 9780521420464. Statistical Analysis, Ya-lun Chou, Holt International, 1975, ISBN 0-03-089422-0, section 17
Moving_average
Statistical property
the dispersion of sample means around the population mean. In regression analysis, the term "standard error" can also be used to refer to the square root
Standard_error
Statistical relationship
range restriction in one or both variables, and are commonly used in meta-analysis; the most common are Thorndike's case II and case III equations. Various
Correlation
Generates a forecast of future values of a time series
the user, such as seasonality. Exponential smoothing is often used for analysis of time-series data. Exponential smoothing is one of many window functions
Exponential_smoothing
Overall consistency of a measure in statistics and psychometrics
formal psychometric analysis, called item analysis, is considered the most effective way to increase reliability. This analysis consists of computation
Reliability_(statistics)
Statistical modeling technique
point appropriately. Censored quantile regression has close links to survival analysis. The quantile regression loss needs to be adapted in the presence
Quantile_regression
Table which shows probability of death at various ages
life expectancy Decrement table Gompertz–Makeham law of mortality Survival analysis Harper, Begon. "Cohort Life Tables". Tiem. Archived from the original
Life_table
Person who works with theoretical or applied statistics
Additionally, there is a substantial number of people who use statistics and data analysis in their work but have job titles other than statistician, such as actuaries
Statistician
Inverse of the average of the inverses of a set of numbers
in a number of areas including textile manufacture pedigree analysis and survival analysis Akman et al. have developed a test for the detection of length
Harmonic_mean
Measure of covariance of components of a random vector
different assets that investors should (in a normative analysis) or are predicted to (in a positive analysis) choose to hold in a context of diversification
Covariance_matrix
Probabilistic problem-solving algorithm
provide approximate solutions to problems too complex for mathematical analysis. The name comes from the Monte Carlo Casino in Monaco, where the primary
Monte_Carlo_method
Statistical interpretation with many tests
Candès and Vladimir Vovk. Multiple comparisons arise when a statistical analysis involves multiple simultaneous statistical tests, each of which has a potential
Multiple_comparisons_problem
Interpretation of probability
first mathematical treatment of a non-trivial problem of statistical data analysis using what is now known as Bayesian inference. Mathematician Pierre-Simon
Bayesian_probability
Graphical representation of the distribution of numerical data
distribution. Depending on the actual data distribution and the goals of the analysis, different bin widths may be appropriate, so experimentation is usually
Histogram
Statistical test
similar size from the population of test-takers. A deficiency of this analysis is that it does not consider whether the effect size of 4 points is meaningful
Z-test
Systematic analysis technique
Failure modes, effects, and diagnostic analysis (FMEDA) is a systematic analysis technique to obtain subsystem / device level failure rates, failure modes
Failure modes, effects, and diagnostic analysis
Failure_modes,_effects,_and_diagnostic_analysis
Statistical measure of how far values spread from their average
_{i}p_{i}\mu _{i}^{2}-\mu ^{2}\right).} A similar formula is applied in analysis of variance, where the corresponding formula is M S total = M S between
Variance
time-dependent covariate) is a term used in statistics, particularly in survival analysis. It reflects the phenomenon that a covariate is not necessarily constant
Time-varying_covariate
Statistical modeling method
conditional median or some other quantile is used. Like all forms of regression analysis, linear regression focuses on the conditional probability distribution
Linear_regression
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