Ultra Test (Ronald K. Hoeflin) statistics

Paul Cooijmans

Introduction

These are statistics based on the Ultra Test scores reported by test candidates of I.Q. Tests for the High Range.

Scores on Ultra Test (Ronald K. Hoeflin) as of 6 January 2026

Contents type: Verbal, numerical, spatial.   

28 *
30 *
34 *
40 *
42 *
44 ***
46 **
48 **
58 *
60.5 *
61 **
62 *
63 **
66 *
68 *
69 *
70 *
71 **

Correlation of Ultra Test (Ronald K. Hoeflin) with other mental ability tests

Test name n rp value
Hoeflin Power Test (Ronald K. Hoeflin)41.000.08
Genius Association Test50.970.05
The Sargasso Test40.950.10
Cooijmans Intelligence Test - Form 340.920.11
W-87 (International Society for Philosophical Enquiry)40.860.13
Short Test For Genius40.860.13
Scholastic Aptitude Test (old)60.820.07
Cooijmans Intelligence Test - Form 240.810.16
Titan Test (Ronald K. Hoeflin)80.800.04
Mega Test (Ronald K. Hoeflin)110.720.02
The Final Test70.680.10
Miscellaneous tests60.680.13
Association subtest of Long Test For Genius40.630.27
Graduate Record Examination (prior to October 2001)40.610.30
The Test To End All Tests70.580.16
Space, Time, and Hyperspace40.530.36
Numbers60.220.62

Weighted mean of correlations: 0.728 (N = 92)

Estimated g factor loading: 0.85

Ranking in above table is based on the unrounded correlations. All available data is present in this table, no tests are left out except for those with less than 4 score pairs. All known pairs are used, including possible floor/ceiling scores or outliers.

Estimated loadings of Ultra Test (Ronald K. Hoeflin) on particular item types

These are estimated g factor loadings, but against homogeneous tests (containing only particular item types) as opposed to non-compound heterogeneous tests. Although tending to surprise the lay person, it is not uncommon for tests to have high loadings on item types they do not actually contain themselves. Such loadings reflect the empirical fact that most tests for mental abilities measure primarily g, regardless of their contents; that the major part of test score variance is caused by g, and only a minor part by factors germane to particular item types. It is of key importance to understand that this is a fact of nature, a natural phenomenon, and not something that was built into the tests by the test constructors.

Typeng loading of Ultra Test (Ronald K. Hoeflin) on that type
Verbal230.84
Numerical60.47
Spatial40.73
Heterogeneous450.91

N = 78

Compound tests have been left out of this table to avoid overlap.

Balanced g loading = 0.74

National medians for Ultra Test (Ronald K. Hoeflin)

Country n median score
United_States1648.0

Total number of countries: 9

For reasons of privacy, only countries with 3 or more candidates are included in this table. Ranking is based on the medians, and then alphabetic.

Correlation of Ultra Test (Ronald K. Hoeflin) with personal details

Personalia n rp value
PSIA Cruel - Revision 200740.780.18
PSIA Antisocial - Revision 200740.470.40
Mother's educational level110.370.25
Disorders (own)110.150.64
Year of birth250.140.48
Father's educational level11-0.040.90
Disorders (parents and siblings)11-0.100.76
Educational level13-0.280.34
Gifted Adult's Inventory of Aspergerisms5-0.500.32
Observed behaviour6-0.510.26
PSIA Neurotic - Revision 20074-0.550.36
PSIA Rational - Revision 20074-0.570.32
PSIA Orderly - Revision 20074-0.690.24
PSIA Cold - Revision 20074-0.700.24
PSIA Just - Revision 20074-0.710.22
PSIA System factor - Revision 20074-0.720.20
PSIA Introverted - Revision 20074-0.860.14
PSIA Extreme - Revision 20074-0.870.13
PSIA Aspergoid - Revision 20074-0.880.12
PSIA Deviance factor - Revision 20074-0.890.12
PSIA Rare - Revision 20074-0.960.10
PSIA True - Revision 20074-0.980.09
PSIA Ethics factor - Revision 20074-1.000.08

Notice: A correlation is generally considered significant if its p value is 0.05 or less.

Estimated g factor loadings for restricted ranges

The goal of estimated g factor loadings for restricted ranges is to verify the hypothesis that g becomes less important, accounts for a smaller proportion of the variance, at higher I.Q. levels. The mere fact of restricting the range like this also depresses the g loading compared to computing it over the test's full range, so it would be normal for these values to be lower than the test's full-range g loading.

Below 1st quartile (44.0)-0.31 (N = 15)
Below median (58.0)-0.22 (N = 48)
Above median (58.0)0.70 (N = 25)
Above 3rd quartile (63.0)0.74 (N = 6)