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What is under the hood of your statistical

software?

Compare two normally distributed series with equal

variance:

t

=

x

1

-

x

2

s

1

2

( 1

n

1

+

1

n

2

)

e

=

2[1

-

F

t

(

df

1

+

df

2

)

(

t

)]

Test quantity. Note common variance

Two sided test

Cummulative distribution function.