Mega terms Flashcards
effective annual rate
(1+stated rate/m)^m - 1
Present Value of perpetuity
PMT/(I/Y)
Geometric Mean
((1+R1)(1+R2)(1+R3)…(1+RN))^1/n
Harmonic Mean
N/Summation(1/Xi)
Mean Absolute Deviation
(Summation|Xi-X(mean)|)/n
Population Variance
Summation (Xi-mean)^2/N
Sample Variance
Summation (Xi-mean)^2/(N-1)
Chebyshev’s inequality
1-(1/k^2)
CV
Standard Deviation of x/Average value of x
P(A|B)
P(AB) = P(A|B) * P(B) = P(B|A) * P(A)
P(A or B)
P(A) + P(B) - P(AB)
Cov1,2
(Summation(Rt,1-R1)(Rt,2-R2))/(n-1)
Var(Rp)
wiwjCov(Ri,Rj)
Choosing when order doesn’t matter from subset r
n!/(n-r)!r!
Choosing when order does matter from subset r
n!/(n-r)!
For discrete uniform distribution
P(X=x) = (n!/((n-x)!x!))p^(x)(1-p)^(n-x)
SFRatio
E(Rp)-RT/stdevp
CI when variance is known and unknown
Z when variance is known t when variance is unknown
Type I error
the rejection of the null hypothesis when it is actually true. The alpha is P(Type I error)
Type II error
the failure to reject the null hypothesis when it is actually false False negative and power of test is 1-P(Type II)
paired T-test
t = (x1-x2)/((s^2p/n1)+(s^2p/n2))^1/2 where s^2p=(n1-1)s1^2 + (n2-1)s2^2 / (n1+n2-2)
Degrees of freedom for t-test
((s1^2/n1)+(s2^2/n2))^2/((s1^2/n1)^2/n1) + (s2^2/n2)^2/n2)
When to use a t-test
to test if two independent or dependent populations have equal means and when populations are normally distributed