Midterm Flashcards
A measure of the central tendency of a set of random variables
Mean
Measures how widely the values of a variable in a set vary
Variance
Measures how much a set of two variables vary together
Covariance
It is the expectation of the squared deviation of a variable from its mean
Variance
It is their average or expected value
Mean
It is the expectation of the product of the deviations of two variables from their respective means
Covariance
Measures the degree and direction of the relationship between two variables
Correlation
Measures the expected change in one variable per unit change in another variable
Regression
Expected value of a constant =
Constant
Expected value of a random variable =
Sum of all values of random variable/ n
What can you do so that the sum of (xi - mean of x) does not equal zero
Square the deviation
Variance equation
= sum (X^2 - 2X(mean X) + (meanX)^2)
Sample variance equation V(X)
(1/(n-1)) * sum(Xi^2 - 2Xi(meanX) + (meanX)^2)
Sample variance V(aX)
= a^2V(X)
Correlation equation
Cov(X,Y)/ (sqrt V(X)*V(Y))
Doesn’t matter order
Not causative
Unitless
0 = unrelated
Correlation
Order matters
Y on X = X is causing Y
Denominator is always variance of the variable that’s causing the other variable (the second variable)
Regression
Regression equation
= Cov(X,Y) / V(X)
ANOVA means
Analysis of variance
Sums of squares equation
SST=SSR+SSE
SST is the
Total sums of squares
SSR is the
Regression sums of squares
SSE is the
Error sum of squares
Mean Yi is the
Mean of observations for the ith individual
The proportion of the alleles in a population at a locus that are of a particular type
Allele frequency
Proportion of individuals in a population with a particular genotype at a particular locus
Genotyped frequency
f(B) = p =
2 * (no. of BB individuals) + 1 * (no. of Bb individuals) / 2 * (total no. individuals)
f(b) = q =
2 * (no. of bb individuals) + 1 * (no. of Bb individuals) / 2 * (total no. individuals)
q =
1-p
f(B) and f(b) are
Allele frequencies
f(BB) and f(Bb) and f(bb) are
Genotypic frequencies
f(BB) = P =
No. of BB individuals / total no. individuals
f(Bb) = H =
No. of Bb individuals / total no. individuals
f (bb) = Q =
No. of bb individuals / total no. individuals
Even though alleles occur in a ____ state in individuals, they are transmitted ____ from parent to progeny
Paired
Singly
How can the allele frequency be the same in sires and dams
If there is random mating and no selection in a large population
OR
If selection occurs at the same rate in males and females
Hardy Weinberg equilibrium assumes
Allele frequencies in progeny = those in their parents
Used to describe computations
Summation and dot notation
Rule 1: sum involving a constant
Ec = c+c+c+c …. +c = nc
Rule 2: sum of sequential positive integers
Ej = 1+2+3+ …. +n = n(n+1) / 2
Rule 3: sums of the squares of sequential positive integers
Ek^2 = 1^2+2^2+3^2+ …. n^2 = n(n+1) * (2n+1) / 6
An equation where any x plugged into an equation will yield exactly one value of y
Function
Use a dot to signify a summation over a subscript
Dot notation