Statistical Power
Excel 2007 formula list examples pdf Microsoft Office Excel 2007 Formulas Functions For Dummies download pdf rapidshare mediafire fileserve, 4shared torrent ebook,kindle,online.For example, learn how to work with Excel formulas, vlookup and macros. EXCEL FUNCTIONS – FULL LIST This is a complete alphabetical list of all the Functions in Excel with a description. To see the syntax and a more in depth description, the function is a link to the Microsoft Excel site. FUNCTION TYPE AND DESCRIPTION ABS function Math and trigonometry: Returns the absolute value of a number ACCRINT function.
Formula:
p = 1 - βWhere,
p = Statistical Power of Test
β = Beta
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Permutation and Combination
Formula:
PermutationnPr = n! / ( n - r )!
Combination
nCr = nPr / r!
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Normal Distribution
Normal Distribution Formula :
X < mean = M - ZX > mean = M + Z
Z = (X-M) / Ï
Where,
M = Mean.
Ï = Standard Deviation.
X = Normal Random Variable
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Probability Density Function of Normal Distribution, Standard Normal Distribution
Formula :
PDF of Normal Distribution = P(x) = (1/(σsqrt(2π)))e-(x-m)2 / (2σ2)
Standard Normal Distribution = P(x) = (1/sqrt(2π))e-(x2 / 2)
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Binomial Distribution
Formula:
P (X = r) = nCr pr (1-p)n-rWhere,
Combination nCr = ( n! / (n- r)! ) / r!
n = Number of Events
r = Number of Success
p = Probability of Success
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Negative Binomial Distribution
Negative Binomial Distribution Formula :
Negative Binomial Distribution P(X = r) = n-1Cr-1 pr (1-p)n-r
where,
Combination n-1Cr-1 = ( (n-1)! / ((n-1)-(r-1))! ) / (r-1)!
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Poisson Distribution
Poisson-distribution Formula:
Poisson Distribution f(x) = e-λλx / x!Related Calculator:
Hypergeometric Distribution
Formula:
Hypergeometric Distribution h(x, N, n, k) = [kCx] [N - kCn - x] / [NCn]Where,
k = Number of Selected Items from the Population Size
x = Random Variable
N = Total Population Size
n = Total Sample Size
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Z Score to P Value
Formula:
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Exponential Distribution
Formula:
P(x) = ae-ax,
where,
a is the parameter of the distribution,
x is the random variable,
P(x) is the probability density function.
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Expected Value E(x)
Formula:
E[x] = n x pWhere,
n is the number of trials,
p is the probability of a successful outcome.
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Weibull Probability Distribution Function
Formula Used :
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Beta Distribution Function
Formula Used:
Probability Density Function (pdf) =
Cumulative Distribution Function (cdf) =
where,
Β(α,β) - Beta Function
Βx(α,β)- Incomplete Beta Function
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Cauchy Distribution
Formula Used:
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Gamma Distribution Function
Formula Used:
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Laplace Distribution
Formula Used:
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Continuous Uniform Distribution
Formula Used:
Probability Density =
Lower Cumulative Distribution =
Upper Cumulative Distribution =
Probability Density =
Lower Cumulative Distribution =
Upper Cumulative Distribution =
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Weibull Cumulative Distribution, Probability Density
Formula Used:
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Inverse / Reciprocal Gamma Distribution
Formula Used:
Probability Density Function (pdf) =
Cumulative Distribution Function (cdf) =
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Diagnostic Post Test Probability
Formula:
O = p1 / ( 1 - p1 ),
p2 = O * L,
p = p2 / ( 1 + p2 ),
Where,
p1 is the pretest probability,
O is the pretest odds,
p2 is the posttest odds,
L is the likelihood ratio,
p is the posttest probability.
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Multinomial Distribution
Formula:
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Rayleigh Distribution
Formula:
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Gumbel Distribution for PDF, CDF
Formula:
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Geometric Distribution
Formula:
P(x) = qxpWhere ,
p = Probability of success for a single trial
q = Probability of failure for a single trial ( = 1-p )
x = Total Occurrence - 1
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Dirichlet Multinomial Distribution
Formula:
Where,
Pr(Z | α ) is Dirichlets Multinominal Distribution
A is ∑k αk (Sigma) represents summation of Parameter vector (α) values
N is ∑k nk represents summation of Independent trial (n) values
k is number of trials
Γ (gamma) represents factorial function of (x-1)
Π (pi) represents product function
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Standard Distribution
Formula Used:
Mean (M)= Sum of random values / n
Standard Sample Deviation
where,
X - sample values
M - mean value
n - number of samples values
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Kolmogorov Smirnov Test
Formula:
Where,
D = Maximum Value of Normal Distribution,
N = Numbeformr of Statistic Data,
F = Kolmogorov Smirnov (KS) Index.
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Student T Test
Formula:
Where
X1 - Group one data,
X2 - Group two data,
t - test statistic
n1,n2 - Group values count
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Degrees of Freedom
One Sample T-Test Formula:
d = n1 - 1Two Sample T-Test Formula:
df = (n1 + n2) - 2Where,
df = Degree of Freedom
n1 = Total Number in Sequence 1
n2 = Total Number in Sequence 2
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Combination nCr
Formula:
C(n,r) = n! / ( r! (n - r)! )Where,
C(n,r) = Combinations nCr
n = Number of Sample Points in Set
r = Number of sample Points in Each Combination
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Fisher Z Transformation
Formula:
Zr = ( 1 / 2 ) [ ln ( 1 + r ) - ln ( 1 - r ) ]SEzr = ( 1 / √( n - 3 ) )
Where,
Zr = Z Score
SEzr = Standard Error
r = Correlation Coefficient
n = Size
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Standard Normal Distribution
Formula:
Z = (x - μ) / σWhere,
Z = Standardized Random Variable
x = The Value that is being Standardized
μ = Mean of the Distribution
σ = Standard Deviation of the Distribution
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Geometric Probability
Formula:
r = (1 - p)u = rx
f = u x p
l = 1 - r(x + 1)
m = r / p
Where,
u = Upper CDF
l = Lower CDF
f = Probability of Mass
m = Mean
p = Probability of Success
x = Percentile x
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Index Of Dispersion
Formula:
Index of Dispersion = σ2 / μWhere,
μ = Mean
σ2 = Variance
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Permutation
Formula:
nPr = n! / ( n - r )!Where,
nPr = Permutations
n = Number of sample points in set n
r = Number of sample points in each permutation
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T Score
Formula :
t-Observed :t - Observed = (Sample Mean - Population Mean) / Standard Deviation
Mean :
Mean = Sum of X values / N(Number of Values)
Sample Standard Deviation :
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Log Odds and Odds
Formula:
When Observed Proportion is Giveno = p / (1 - p)
l = log (p / (1 - p))
When Odds is Given
p = o / (1 + o)
l = log(o)
When Log Odds is Given
o = Exp (l)
p = o / (1 - o)
Where,
o = Odds
l = Log Odds
p = Observed Proportion
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Bivariate Distribution
Formula:
Probability Density (f) = ( 1 / ( 2 π √ ( 1 - p2))) × ( e ( - ( x2 - 2pxy + y2)) / ( 2 ( 1 - p2)))Where,
f = Probability Density
x = Percentile x
y = Percentile y
p = Correlation Coefficient
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Logistic Distribution
Formula:
E = e- ((x - a) / b)p = E / (b x (1 + E)2)
lcdf = 1 / (1 + E)
ucdf = 1- lcdf
Where,
E = Exponent Value
x = Percentile
a = Location Parameter
b = Scale Parameter
p = Probability Density Function (pdf)
lcdf = Lower Cumulative Density Function (lcdf)
ucdf = Upper Cumulative Density Function (ucdf)
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Number Lock Permutations
Formula:
Combination Without Repitition = a! / b! x (a - b)!Combination With Repitition = (a + b - 1)! / b! x ((a + b - 1) - b)!
Variation Without Repitition = a! / (a - b)!
Variation With Repitition = ab
Where,
a = Element to Choose from
b = Elements Chosen
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T Function and V Function
Formula:
t = 1 / (2π) tan-1aWhere,
t = T-Function and V-Function
a = Coefficient (y = ax)
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Arcsine Distribution
Formula:
Cumulative Distribution Function = (2 / π) * (arcsine (√ (x)))Probability Distribution Function = 1 / (π √ (x (1 - x)))
Where,
x = Parameter
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Folded Normal Distribution
Formula:
Where,
x = Upper Limit
μ = Mean
σ2 = Variance
erf=Error function
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Percentile Mean Standard Deviation
List Of All Excel Formulas Pdf
Formula:
50th Percentile = Mean84th Percentile = Mean + Standard Deviation
97.5th Percentile = Mean + (2 x Standard Deviation)