Apply function

 

Menu location: Data_Apply Function.

 

This applies an algebraic expression to any selection of data. The workbook column(s) you select are given the variable names V1, V2 ... Vn in the order that they are selected from left to right across the workbook. You can then create a new column as a function of those selected. You do this by entering an algebraic expression that can use any of the functions, operators and constants below. For example V1/SQR(V2) would produce a column where each row entry was that of the first selected column divided by the square root of the corresponding row entry in the second selected column. A maximum of 9 variables/columns can be selected.

 

The same results can be achieved using intrinsic functions within a StatsDirect workbook. Large complex functions may be handled faster by the intrinsic workbook functions of StatsDirect.

 

Constants

 

PI

3.14159265358979323846 (p)

EE

2.71828182845904523536 (e)

 

 

Arithmetic Functions

 

ABS

absolute value

CLOG

common (base 10) logarithm

CEXP

anti log (base 10)

EXP

anti log (base e)

LOG

natural (base e, Naperian) logarithm

LOGIT

logit: log(p/[1-p]), p=proportion

ALOGIT

antilogit: exp(l)/[1+exp(l)], l=logit

SQR or SQRT

square root

!

factorial (maximum 170.569)

LOG!

log factorial

IZ

normal deviate for a p value

UZ

upper tail p for a normal deviate

LZ

lower tail p for a normal deviate

TRUNC or FIX

integer part of a real number

CINT

real number rounded to nearest integer

INT

real number truncated to integer closest to zero

 

Please note that the largest factorial allowed is 170.569398315538748, but you can work with Log factorials via the LOG! function, e.g. LOG!(171).

 

Arithmetic Operators

 

^

exponentiation (to the power of)

+

addition

-

subtraction

*

multiplication

/

division

\

integer division

 

Calculations give an order of priority to arithmetic operators; this must be considered when entering expressions. For example, the result of the expression "6 - 3/2" is 4.5 and not 1.5 because division takes priority over subtraction.

 

Priority of arithmetic operators in descending order

  1. Exponentiation (^)

  2. Negation (-X) (Exception = x^-y; i.e. 4^-2 is 0.0625 and not -16)

  3. Multiplication and Division (*, /)

  4. Integer Division (\)

  5. Addition and Subtraction (+, -)

 

Trigonometric Functions

 

ARCCOS

arc cosine

ARCCOSH

arc hyperbolic cosine

ARCCOT

arc cotangent

ARCCOTH

arc hyperbolic cotangent

ARCCSC

arc cosecant

ARCCSCH

arc hyperbolic cosecant

ARCTANH

arc hyperbolic tangent

ARCSEC

arc secant

ARCSECH

arc hyperbolic secant

ARCSIN

arc sine

ARCSINH

arc hyperbolic sine

ATN

arc tangent

COS

cosine

COT

cotangent

COTH

hyperbolic cotangent

CSC

cosecant

CSCH

hyperbolic cosecant

SIN

sine

SINH

hyperbolic sine

SECH

hyperbolic secant

SEC

secant

TAN

tangent

TANH

hyperbolic tangent

 

To convert degrees to radians, multiply degrees by pi/180. To convert radians to degrees, multiply radians by 180/pi.

 

Logical Functions

 

AND

logical AND

NOT

logical NOT

OR

logical OR

<

less than

=

equal to

>

greater than