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UW-Madison ANSCI 361 - Statistics and their Application to Quantitative Traits
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An Sci 361 1st Edition Lecture 15 Outline of Last Lecture I. Testing for recessivesa. ExamplesII. Homozygous Dominant vs. Heterozygousa. Biochemical Testingb. DNA Testing i. BLAD ii. Mulefoot iii. DUMPS iv. CVM v. Citrullanaemiac. Test MatingsIII. Pr[D] with different types of matesa. Homozygous Dominantb. Known Carrierc. Homozygous Recessived. Individual’s Daughterse. Mate’s Chosen randomly from PopulationIV. Characteristics of Different Mating Testsa. Homozygous Recessive Matesb. Carrier (heterozygous) matesc. Daughtersd. Random mates from the populationOutline of Current Lecture I. StatisticsII. Estimationa. Of populationb. Of IndividualIII. Normal Distributiona. Histogramsb. Quincunx (or “Galton Board”)IV. The Meana. EquationV. Variationa. MeasuresVI. HeritabilityThese notes represent a detailed interpretation of the professor’s lecture. GradeBuddy is best used as a supplement to your own notes, not as a substitute.a. EquationCurrent LectureWhy Statistics?- Descriptive statistics (e.g. averages, minimum, maximum, plots, etc.)- Inferenceo Estimation Population parameters Individual values (e.g. genotypic or breeding values)o Hypothesis testingEstimation- Of population measures:o Population  Parameters (population measures) o Sample  Sample statistics, Estimates- Of individual measures (aka prediction):o Breeding value (BV) for milk production: unknown Info from daughter’s performance can be used to estimate (or predict) the sire’s breeding value- Estimated Breeding Value (EBV)The Normal Distribution- The great majority of continuous quantitative traits are normally or near-normally distributed (polygenic control + environmental effects)The Mean (a measure of the center of the distribution)- Important equations in lecture notesVariation- Proso Important (Crucial) for genetic improvement of livestock and companion animals- Conso Processing and final (market) product quality; homogeneity- Measures of Variationo Sum of squared deviation from each individualo Important equations in lecture notesHeritability- Heritability (h2) of a polygenic trait:o The proportion of the population phenotypic variance accounted for by the population breeding value varianceo Important equation in lecture


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UW-Madison ANSCI 361 - Statistics and their Application to Quantitative Traits

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