ANIMAL GENETICS BREEDING Biometrical Techniques in Animal Breeding
ANIMAL GENETICS & BREEDING Biometrical Techniques in Animal Breeding Course No. AGB - 605 Lecture no. – 4 UNIT - III Basic Concept of Statistics Dr. K G Mandal Department of Animal Genetics & Breeding Bihar Veterinary College, Patna Bihar Animal Sciences University, Patna
Basic Concept of Statistics • What is Statistics ? • Whether Science or Art ? • Collection, compilation, presentation, analysis and interpretation of numerical data – according to Prof. Croxton and Cowden • Data ? And source of data. – Primary – Secondary
Function of statistics • • • Presentation of facts Condensation of data Making comparison Formulation and testing of hypothesis Prediction Formulation of suitable policies
Application of Statistics • • • Statistics & State Statistics & Business Statistics & Economics Statistics & Science Statistics & Research Limitation of Statistics
Central Tendency • Mean – AM – GM – HM – AM > GM > HM Median Mode
Measures of Dispersion • Measures of Dispersion ? • Properties of a good Measure of Dispersion – Simple to understand – Easy to compute – Based on each and every item of the dispersion – Use for further algebraic treatment – Should have sampling stability
Different Measures of Dispersion • Range • Mean Deviation • Variance : 1/N [ ∑ (Xi – X)2 = ∑x 2 – (∑x)2/N N– 1 • Standard Deviation : + √ Variance • Standard Error : SD / √N • Coefficient of Variation Percentage (CV %) = (SD / Mean) x 100 %
Merit of Standard Deviation • It is the best measure of dispersion. • Based on each and every item of the set of data. • Used for further algebraic treatment. • Less affected by sampling fluctuation.
Properties of CV% • Developed by Karl Pearson • Independent of unit i. e. , no unit but expressed in % • Used to compare the variability of two or more than two sets of data • Used to compare the variability when different sets of data have different units
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