A x B = {(x,y) | x ε A ^ y ε B}

Where,

SE = Standard Error

s = Standard Deviation

n = Size (Number of Observations) of the Sample.

Where,

C

σ = Standard Deviation

μ = Mean

Percent Error = (observed value - True value)/True value)*100)

Where,

X

X

n = Number of Samples

Number of Arrangements = M! / N!

N! = N

Where,

M! = Total number of vowel letters,

N! = Number of occurrences of each duplicate vowels.

Where,

σ=Standard deviation.

Where,

L = Number of below rank,

S = Number of same rank,

N = Total numbers.

Where,

S

μ = Target Mean,

σ = Standard Deviation,

k = Reference value,

C

C

Coefficient of Determination ( r

GPA = Total Grades / Total Credit Hours

Y = a + b

Where,

a - Y intercept point

b

Where,

J

Where,

d = Cohen's d Value (Standardized Mean Difference),

M1,M2 = Mean Values of the First and Second Dataset,

SD1,SD2 = Standard Deviation of the First and Second Dataset,

r = Effect Size.

Sums of squares Formula

Mean squares Formula

F Formula

Where,

β

k = Number of Predictors

n = Sample Size

SE

α = Percentage of Confidence Interval

t = t-Value

Where,

USL = Upper Specification Limit,

LSL = Lower Specification Limit.

P = 2 x ( 1 - Φ(z) )

Where,

P = Post HOC Statistical Power Analysis

z = x̄ / σ√N

x̄ = Mean

σ = Standard Deviation

N = Number of Samples

Where,

USL = Upper Specification Limit,

LSL = Lower Specification Limit.

Where,

r1 = Percentage Response 1

r2 = Percentage Response 2

s1 = Sample Size 1

s2 = Sample Size 2

Where,

μ = Sample mean

n = Number of samples

X

Where,

Li = Lower limit of the decile class

N = Sum of the absolute frequency

F

a

Where,

a,b = Positive Test Values

c,d = Negative Test Values

y = a x b

Where,

The variables a and b denotes the coefficients of exponential equation.

Harmonic Series = 1 + 1/2 + 1/3 + 1/4 + ... (Overtone Method)

Reliability = N / ( N - 1)x(Total Variance - Sum of Variance for Each Question )/Total Variance

where,

N is no of questions,

Outlier datas are, < Q1 - 1.5xIQR (or) > Q3 + 1.5xIQR

Where,

Q1 = First Quartile

Q3 = Third Quartile

IQR = Inter Quartile Range

Where,

α

α = Critical P Value

k = Number of Test

E=H/H

Where,

SUM = Summation

pi= Numbe of individuals of species i/total number of samples

S = Number of species or species richness

H

E= Evenness=H/H

SNR (or) S/N = μ/σ

Where,

μ - Mean,

σ - Standard Deviation,

SNR - Signal to Noise Ratio

Lower Limit = m - t

Upper Limit = m + t

Where,

t - Distribution.

s.d - Standard Deviation

n - Total Count

m - Mean

Online statistics helps you in estimating the test reliability using Kuder-Richardson Formula 21 calculator.

Where,

k - Number of questions

μ - Population mean score

σ

ρKR21 - Reliability of the test

Lower Outlier Boundary = Q1 - 1.5 x IQR

Upper Outlier Boundary = Q3 + 1.5 x IQR

Where,

Q1 = First Quartile

Q3 = Third Quartile

SDI | = | Laboratory Mean - Consensus Group Mean Consensus Group SD |

Total Required Inventory (TRI) = Weekly Part Usage * Supplier Lead-time * Total locations for stock

Kanban = TRI / Container Capacity

where,

T

O = Optimistic estimate,

T = Typical estimate,

P = Pessimistic estimate

C = Theoretical call premium

S = Current stock price

t = time

K = option striking price

r = risk free interest rate

N = Cumulative standard normal distribution

e = exponential term (2.7183)

d_{1} = ( ln(S/K) + (r + (s^{2}/2))t ) / s√t

d_{2} = d_{1} - s√t

s = Standard deviation of stock returns

% RSD = S × 100/ x

Where,

Mean = X/N

X = Summation of x value

N = The count of mean values

S = Standard Deviation value

x = Mean of the data

Where,

G(s)H(s) = Root Locus of Open Loop Transfer Function

G(s) = Gain Function

H(s) = Feedback Function

s = S-Plane Value

EER = EE / ES

ES = EE + EN

CER = CE / CS

CS = CE + CN

Where,

RRR = Relative Risk Reduction

[ if (r is negative, then it is Relative Risk Reduction),

if (r is positive, then it is Relative Risk Increase) ]

EER = Experimental Event Rate

CER =Control Group Event Rate

EE = Experimental Events

EN = Experimental Non Events

ES = Experimental Total Subjects

CE = Control Group Events

CN = Control Group Non Events

CS = Control Group Total Subjects

s = n! / ( n - r! ) ( Case 2 )

s = ( n + r - 1 )! / ( r! * ( n - 1 )! ) ( Case 3 )

s = n! / (( n - r )! * r!) ( Case 4 )

Where,

s = Combination or Permutation

n = Total Number of Events

r = Number of value be Selected

Case 1 : Order is Important and Repetition is Allowed

Case 2 : Order is Important and Repetition is Notallowed

Case 3 : Order is Not Important and Repetition is Allowed

Case 4 : Order is Not Important and Repetition is Notallowed

H3 = (0.275 * (h - l)) + c

H2 = (0.183 * (h - l)) + c

H1 = (0.0916 * (h - l)) + c

L1 = c - (0.0916 * (h - l))

L2 = c - (0.183 * (h - l))

L3 = c - (0.275 * (h - l))

L4 = c - (0.55 * (h - l))

Where,

h = Previous Day High

l = Previous Day Low

c = Previous Day Close

Where,

q = Williams Correction Factor

a = Number of Categories

n = Total Sample Size

v = Number of Degrees of Freedom

Control Event Rate = c / (c + d)

Experimental Event Rate = a / (a + b)

Where,

a = Experimental Group Size

b = Control Group Size

c = Events in Experimental Group

d = Events in Control Group

Where,

μ = Mean

σ = Standard deviation

Z = Z score

Where,

c = Process Capability Index

s = Process Standard Deviation

Where,

R = Percentile Rank

N = Number of Data

Where,

Q

Q

Q

Upper Limit Value = x - (- l x s)

Where,

x = Control Mean

s = Control Standard Deviation

l = Control Limit you Wish to Evaluate

Where,

R = Percentile Rank

N = Number of Data

Upper Fence = Third Quartile + 1.5 x Interquartile Range

Where,

IDR = Interdecile Range

D = Decile

Where,

V = Total Volume of Vehicle Traffic for a Year