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ANG 107: Midterm 1_Miller
UC Davis
16
Biology
Undergraduate 4
10/25/2019

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Term
Categorization of traits
Definition
based on...

PHENO MANIFESTATION
*categorical- phenos in categories
*quantitative- phenos described on quant scale w/ cont distrib


GENETIC NATURE
*sit- affected by sm # genes
*polygenic- affected by many genes
Term
Questions
Definition
1) AVG?
* use mean

2) IS MORE/LESS UNIFORM?
* use variance, SD

3) WHAT DOES ONE PREDICT ABOUT THE OTHER
* use covariance, correlation/regression coeff

4) PREDICT Y FROM X (OR THE REGRESSION OF Y ON X)
* use b(y,x)
Term
statistic
Definition
*using mathematical data to answer questions
*something calc from data
Term
value
Definition
*for animal breeding, any measure of an ind (as opposed to a pop)
*describes the attributes of an ind
Term
population measure
Definition
*any measure of a pop (as opposed to an ind)
*describe attributes of pop
*EX: mean, co/variance, SD, correlation/regression coeff
Term
mean
Definition
*NOTATION: (p-bar, or mu)
*average of a pop
Term
variance
Definition
*NOTATION: σ^2
*mean of the deviation squared
*deviation from the mean

***variance α variation in pop
- the more variation a pop has, the more variance (0
Term
standard deviation
Definition
*NOTATION: σ
* √σ^2
*amount of variation that exists in a pop
-more intuitive than variance
Term
covariance
Definition
*NOTATION: cov
*the mean of the product of deviations
*describe the direction of the relationship (+/-/no)
*foundation statistic, but not intuitive
Term
correlation coefficient
Definition
*NOTATION: r(x,y)
*describes the strength and direction of relationship
*how well the pts fall on the line
*doesn't tell how to make a prediction (need a slope)
Term
regression coefficient
Definition
*NOTATION: b(y,x)
*tells us the exact value for the slope
*tells us the slope of a relationship
Term
Determining the relationship of a data set
Definition
BEST FIT LINE
-strength represented by how many dots touch the line


SLOPE
+ relation: x data set and y have + covarience (if x is above the mean, y will be too)

- relation: covariance is - (if x is above the mean =, y is below the mean)

no relation: covariance can be - and/or +
Term
relations of different covariance, correlation, and regression
Definition
COV (x,y) = COV (y,x)

r x,y = r y,x

b y,x ≠ b x,y
*b/c denominator changes
Term
Prediction eq
Definition
Yi = My + by,x (xi - Mx)

Yi: y value of ind
My: y intercept
b: slope
xi: x value for ind
Mx: mean pop x
Term
Normal Distribution properties
Definition
*symmetric and bell shape
- σ = 68%
- 2σ = 95%
- 3σ = 99%

*ind w/ extreme phneo occurs less often than mod pheno
important in genetics b/c mendelian sampling @ many loci ==> seg and ind assortment
Term
population parameter vs sample statistic
Definition
PARAMETER- true as opposed to estimated pop measure

STATISTICS- an estimate of a parameter made using a sample of total pop
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