9 sign, 10 quantiles of the student's t-distribution, Sign (sign) – Metrohm tiamo 2.4 (process analysis) User Manual

Page 91: Quantiles of the student's t-distribution

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2 General program functions

tiamo 2.4 (for Process Analysis)

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75

2.4.4.5.9

Sign

Dialog window: Formula editor

Operators/Functions

Syntax
y = Sign(number)

Gives the sign of the entered number: 1 for a positive number, -1 for a
negative number.

Parameters
Number

The parameter can be indicated either directly as a number or as a variable
of the type Number. If the parameter does not correspond to the
expected type, it will automatically be converted to this. If this is not possi-
ble, the result of this operation is given as invalid.

Examples
Sign(-55.3) = -1

Sign(26.115) = 1

Sign('CV.AverageTemp') = Sign of the value of the common variable
CV.AverageTemp

2.4.4.5.10

Quantiles of the Student's t-distribution

Dialog window: Formula editor

Operators/Functions

Syntax
t

s

= Tinv(Probability; Degrees of freedom)

Calculates the quantiles of the Student's t-distribution for two-sided inter-
vals.

The result describes the half interval length as a multiple of the standard
deviation of a sampling totality with given degrees of freedom within
which, with the indicated probability, the mean value of the distribution
lies, when the interval is centered on the mean value of the sampling
totality.

Parameters
Probability

Type number, value range: 0 ... 1. Direct entry as number or as formula
providing a number. If the type of value is non-permitted, then the result
will become invalid. This is to indicate the probability with which the
unknown mean value of the t-distributed result is expected to lie within
the two-sided interval.

Degrees of freedom

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