Very little explanatory power is required in order for regressions to exhibit statistical significance. This article discusses some of the causes and implications.
Very little explanatory power is required in order for regressions to exhibit statistical significance. This article discusses some of the causes and implications.
We find the correlation of two jointly distributed random variables connected with a coin tossing experiment. The marginal distributions are binomial and negative binomial.
The Statistics Online Computational Resource (http://www.SOCR.ucla.edu) provides one of the largest collections of free Internet-based resources for probability and statistics education. SOCR develops, validates and disseminates two core types of materials - instructional resources and computational libraries.
This article suggests how to explain a problem of small sample size when considering correlation between two Normal variables. Two techniques are shown: one based on graphs and the other on simulation
This article demonstrates that the variance of three or four observations can be expressed in terms of the range and the first order differences of the observations. A more general result, which holds for any number of observations, is also stated.
This article reflects on whether probability statements can usefully be made about one-off exceptional events
A classroom practical exercise exploring the reliability of a basic capture-mark-recapture method of population estimation is described using great whale conservation as a starting point. Various teaching resources are made available.
his article describes a model for an interactive, introductory secondary- or tertiary-level statistics course that is designed to develop students' statistical reasoning. This model is called a 'Statistical Reasoning Learning Environment' and is built on the constructivist theory of learning.
The older one gets, the more one's life expectancy exceeds the population's given expectancy (at birth). Yet longevity is finite. This apparent paradox is analysed probabilistically with reference to empirical demographic data.
A simple way is given to create residual plots that are words or pictures. Three illustrative examples are presented.