Understanding Foundational Statistical Concepts
Explore foundational statistical definitions such as individual, variable, population, parameter, sample, and statistic through an example involving the examination of rabbit carcasses for myxomatosis signs. Gain insights into basic statistical concepts in a real-world context.
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Foundations I Foundational Definitions
Foundational Items ndividual - items that are observed ariable - characteristic of the individuals observed opulation - all of the individuals of interest arameter - summary (numerical or graphical) of the variable for the population ample - portion of population actually examined tatistic - summary of the variable for the individuals in the sample I V P P S S Slide #2 IVPPSS
Example IVPPSS 215 rabbit (Oryctolagus cuniculus L.) carcasses were examined for signs of myxomatosis1 on Bridgets Farm (Hampshire, southern England) during a period when the density of fleas2 had been substantially reduced with an insecticide. Primary interest was in the proportion of carcasses that exhibited signs of myxomatosis.3 1A disease causing drastic declines in wild rabbit populations 2The primary vector for the myxomatosis disease 3Trout et al. (J. Appl. Ecol. 1992. 29:79-686) Slide #3 IVPPSS
Example IVPPSS 215 rabbit (Oryctolagus cuniculus L.) carcasses were examined for signs of myxomatosis1 on Bridgets Farm (Hampshire, southern England) during a period when the density of fleas2 had been substantially reduced with an insecticide. Primary interest was in the proportion of carcasses that exhibited signs of myxomatosis.3 I -- a rabbit carcass (on Bridgets Farm during the treatment period) V --Signs of myxomatosis (Y/N) Slide #4 IVPPSS
Example IVPPSS 215 rabbit (Oryctolagus cuniculus L.) carcasses were examined for signs of myxomatosis1 on Bridgets Farm (Hampshire, southern England) during a period when the density of fleas2 had been substantially reduced with an insecticide. Primary interest was in the proportion of carcasses that exhibited signs of myxomatosis.3 P -- all rabbit carcasses (on Bridgets Farm during the treatment period) P -- Proportion of all rabbit carcasses (on ) that showed signs of myxomatosis Slide #5 IVPPSS
Example IVPPSS 215 rabbit (Oryctolagus cuniculus L.) carcasses were examined for signs of myxomatosis1 on Bridgets Farm (Hampshire, southern England) during a period when the density of fleas2 had been substantially reduced with an insecticide. Primary interest was in the proportion of carcasses that exhibited signs of myxomatosis.3 S --215 rabbit carcasses actually examined S --Proportion of 215 rabbit carcasses (on ) examined that showed signs of myxomatosis Slide #6 IVPPSS
Important Relationships Summarization What describes this relationship? Parameter Population Statistic Sample Representation or Estimation What describes this relationship? Parameter Population Statistic Sample Slide #7 IVPPSS
