COMPLETE
INSTRUCTION
MANUAL
FOR THE MODEL N-525
q
RULE
N
A MULTI-PURPOSE
SLIDE RULE FOR
GENERAL AND
STATISTICAL USE
"A TRULY PROFESSIONAL
MANUAL & RULE"
by WILLIAM HARRIS, Ph.D.
HUMAN FACTORS RESEARCH, INC.
LOS ANGELES, SANTA BARBARA
Price $ 1.00
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
Front Side
lp + ql n
l. .01
'X. df .OS
A,B
81
L
Cl
C,D
v
Bock Side
Sp
p, pq
q
z
PL
y
N
d
'X.l.
Sig. Level
• STAT RULE
A MULTI-PURPOSE SLIDE RULE
FOR GENERAL AND STATISTICAL USE
Coefficien Is of the binomial distribution for n 's from 3 to 12; n C r; 2 n
Chi Square values (on A scale) required for significance at the .01 and
.05 levels for degrees of freedom from 1 to 30.
Standard scales, half length logarithmic scales; squares and square root
with C and D scales; fourth powers and roots with V scale.
Inverted B scale; reciprocals of values on B; cubes and cube roots with
A a nd D scales; other power and roots; compound multiplication/
division problems.
Full length scale of equal ports (decimal exponen ts of 1 0).
Logarithms of values on C scale.
Inverted C scale; reciprocals of values in C scale.
Standard Scoles; full-length single logarithmic scales.
Double length logarithmic scale; squares a nd squa re roots with D scale;
Fourth powe rs and roots with A scale.
Standard error scale; used with p,q N scales.
Proportion scale, variance of proportions.
Proportion scale (1-p)
Standard score ( x/ cr)
Proportion in the larger area
Ordinate of the normal curve
Sample size scale, f1 + f 2 , o + d; used with p,q, Sp scales and with
d and 'X. 2. scales.
Differe nce scale, f 1 - f 2 , o - d
Chi Square scale, for 2 x 2 (1 df) problems
Significance levels for Chi Square values (1 df).
SPECIAL INSTRUCTIONS fOR THE USE Of THESE SCAW INCLUDED WITH UCH STATRULE • • PICKETT INC .. PICKETT SQUARE, P.O. Box 1515, Santa Barbara, California 93102
CONIIOKT 1965
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
STAT RULE
SLIDE RULE FOR APPLIED STATISTICS
Any area of applied statistics- psychology, sociology,
•" education, marketing research, quality control, business
and engineering- whether student or professional-
will be made more readily effective, and easier
for the analyst with Pickett's specially developed
statistical slide rule. Created by specialists in statistical
analysis, it relates itself particularly to problems
in this field.
TWENTY SCALES
There are twenty scales for speedy and accurate
computation of the most frequently used statistics;
standard deviations, variances, sampling errors of
proportions, percentages, frequencies; significance
tests of differences; values of the normal curve; sig-
. nificant Chi Square values; coefficients of the binomial
distribution. In addition, this new slide rule retains the
' most used scales for general problem solution, found
on standard rules.
CONSIDER THESE HELPFUL FEATURES
• Scale designations in appropriate units
• Decimal points located for most problems
• Bl scale for compound multiplication/ division
problems; cubes and cube roots
"' 20" square root scales give 3 to 4 place accuracy
T Special instructions included with each Stat Rule
@l
SMOOTH OPERATION
Eze-Siider Tension Springs automatically
equalize slider·to-stator
pressure throughout the full length
of the slide rule.
l-f~-~~l-%~\-\~·1~ ALL METAL ACCURACY
Metal construction of Pickett
slide rules assures perfect operation
and dimensional stability regardless
of heat or cold, dry or
damp. Wood tends to shrink,
swell and di stort under extremes
of temperature and humidity.
Most synthetic materials
have limited high-temperature
tolerance.
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
Copyright 1965 by
Pickett, Inc.
Santa Barbara, California
Chicago, Illinois
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
• ' .--,__._.=.:
PREFACE
The STATRULE is a •ulti-purpose slide rule, designed for the solution
of applied statistical probleas and general mathematical problema. Instructions
are given in this manual for the use of the STATRULE for both
types of probleas. The basic operations, which can be done on most
slide rules, are described in Part 1. The use of the special scales for
etatietical problems is described in Part 2. Even though you already
know how to use a slide rule, it will pay to work through Part 1: fa•
iliarity with the notation used will make Part 2 easier to understand.
The basic operations described in Part l include bow to read the
scales and locate decimal points; bow to multiply, divide, and work
probleas in proportion; how to find reciprocals, powers, and roots of
numbers; bow to use the BTATRULE for coabined operations. Beginners
--·· .~.-.-· ·-;. .. ,.;
have most difficulty with scale reading; bow to ~ the rule for problems
is easy to learn. The •any exa•ple problems in the manual were selected
to give practice in locating and reading numbers on different sections
of the scales. Work the problems: the result will be increased con-fidence
in your ability to use the STATRULE effectively.
Many of the problems frequently encountered in applied statistics can
be solved with the special scalae on the STATRULE: variances and stand-ard
deviation& of proportions, percentages, and frequencies; standard
errore of proportions; significance tests of differences between independent
and correlated proportions, and between frequencies; values of
the normal curve, the standard score, the ordinate, the proportion in
the larger area; coefficients of the bino•ial distribution, co•binations
and per•utationa; and •any other statistics in co••on use.
Scales not found on the STATRULE, auch as Log Log and trigonoaetric
function scales, are available on other Pickett Slide Rules.
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
FOREWORD
Why the STATRULE?
The STAT RULE was designed by Human Factors Research, Io!'s-"-=.- ·, to aeet a
particular need not met by other slide rules: a need for a slide rule
for the c omputation of both applied statistical problema and general
aatbeaatical probleas . The aore frequently used scales found on many
elide rules are retained on the STATRULE for the basic operations of
multipli c ation and division, finding powers and roots, and so on . The
special scales are arranged and notated for the rapid solution of the
more coamon probleas in applied statistics.
Who ie the STATRULE for?
The STATRULE ie designed to be used by studenta, instructors, and
professionals in
Business
Education
Psychology
Sociology
Marketing Research
Opinion Survey Research
Human Engineering
Quality Control Engineering
and in the aany other areas that involve the use of statistic• in the
design and analysis of experiaents and in the interpretation of data.
Students will find the STATRULE easy to learn and that ita use will
make statistics easier to understand and apply to "real-life'' probleas.
The ti•e spent in mastering the STATRULE will be •ore than repaid by an
increased ability to handle both statistical and general proble•s.
Instructors will find the STATRULE to be an invaluable teaching aid.
It will help to dispel soae of tbe fear that students have about •athematic&
and, in particular, about statistics . The STATRULE can be used
with any general etatietics textbook. Its use by students will perait
test questions , involving coaputations, that ordinarily cannot be asked
in limited ti•e periods.
Professionals will find tbe STATRULE to be an indispensable tool for
day-to-day use: to design sampling plana, to analyze and interpret data,
to evaluate statistical reports. to solve tbe frequent aatheaatical and
statistical . problems that arise in research, education, and business
activity.
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron
TABLE OP CONTENTS
BTATRULE Illustration .
PART 1 - BASIC OPERATIONS
Introduction
Bow to ~ead the Scales
Multiplication
Diviaion
Coabined Operation•
Proportion
Deciaal Point Location
Reciprocals .
Powers and Roots
Logaritbas
PART 2 - SPECIAL SCALES FOR STATISTICAL PROBLEMS
The Sp, p , q, and N Scales
The d and x2 Scales
The z PL • and y Scales
The X2dt Scale
The (p + q )n Scale
i
Page
11
1
2
6
B
9
10
12
15
17
21
24
24
31
35
37
38
Drs. Nicholas and Dorothy Cummings Center for the History of Psychology
Special Interest Collection, The University of Akron