Understanding Your Scores & Psychometric Validity
STATISTICAL FRAMEWORK & VALIDITY
To interpret your results accurately, it is essential to understand the statistical framework behind our assessments. We utilize rigorous psychometric standards to ensure that every score reflects true cognitive ability.
The Scoring System
Your results are presented as a Standard Score (IQ) based on the SD15 (Standard Deviation 15) scale. This is the global gold standard for cognitive measurement, used by clinical psychologists and high-intelligence societies worldwide.
There are three types of psychometric scales, that are measuring intelligence, ensuring the global standards:
1. The Reliability scale
2. The g-loading scale
3. The Validity scale
1.
Reliability – (The measurement of consistency)
Refers to the internal consistency and stability of a test.
We measure this using Cronbach’s Alpha, which tells us how reliably the items within a test measure the same underlying construct.
Reliability – Scale
0 – 0.50: Unacceptable
0.51 – 0.69: Poor
0.70 – 0.79: Acceptable
0.80 – 0.89: Good
0.90 – 1.00: Excellent
Our Performance: Our tests maintain high-level reliability, with coefficients typically ranging between 0.74 and 0.89, ensuring a very low margin of error.
2.
(g)-loading – (The General Intelligence Factor – Measurement of general intelligence)
This metric defines how much of the test result is attributed to your general intelligence (gF).
g-loading represents the correlation between a specific test and general intelligence. High-range tests aim for a g-loading of > 0.70.
The g-loading – Scale
0.00 – 0.39: Foundational, The test measures a very specific cognitive niche (e.g., simple memory or basic spatial orientation).
0.40 – 0.69 Good/Strong, A reliable indicator of general cognitive ability and abstract reasoning.
0.70 – 1.00: Elite/Superior,The “Gold Standard” in high-range psychometrics. These tests are highly efficient at measuring fluid intelligence (gF), with extreme precision.
3.
Validity – (The Correlation (r) – (Criterion validity))
The r-value indicates the degree of alignment between our instruments and world-renowned professional IQ tests (such as the WAIS-IV or Raven’s Progressive Matrices).
Correlation (r) – Scale
0.00 – 0.29 (Specific/Unique): The test measures a unique aspect of logic that may not be captured by traditional clinical instruments.
0.30 – 0.49 (Moderate Correlation): The test aligns well with established frameworks while maintaining its own unique high-range structure.
0.50 – 0.70+: (Strong to very strong correlation – High Validity): Demonstrates that the assessment is strongly benchmarked against global gold standards, ensuring your score is a valid reflection of your intelligence as measured by the broader scientific community.
Our Research: We continuously correlate our data with established psychometric instruments to maintain high g-loadings across all assessments.
Professional Context & Interpretation
While our assessments are engineered with high psychometric precision and demonstrate strong reliability, it is important to note that these are high-range cognitive instruments designed for independent assessment.
Clinical Comparison: These tests are not intended to replace professional, supervised clinical assessments such as the WAIS-IV or Stanford-Binet, which are administered by licensed psychologists.
Result Accuracy: However, our data indicates that for the majority of participants, the results tend to reflect true cognitive ability and correlate closely with standardized IQ scores. They serve as a highly effective tool for individuals seeking to measure their intellectual potential.
Our objectives
At iqimatrice, our mission is to provide high-range cognitive assessments that meet the most rigorous statistical requirements in the field of psychometrics. We aim for maximum g-loading and reliability to ensure your score reflects your peak intellectual potential:
Reliability, (Consistency)
Description: Reliability indicates the stability of the test scores.
We utilize Cronbach’s Alpha and McDonald’s Omega to ensure internal consistency.
Our assessments maintain a high-level reliability, typically ranging between 0.74 and 0.89, ensuring a minimal margin of error.
Construct Validity, (g-loading)
Description: This measures how accurately the test captures general intelligence (gF).
High-range cognitive instruments aim for a g-loading of > 0.70.
Our research focuses on maintaining strong correlations with the underlying factors of fluid intelligence.
Criterion Validity, (alignment/estimation)
Description: Our scoring is engineered to align with global IQ standards by benchmarking our data against established psychometric principles.
While our assessments are independent instruments, they are designed to provide a highly accurate indication of cognitive ability, reflecting the performance levels found on standardized global scales and ensuring a robust estimation of your intellectual potential.
The Normal Distribution of IQ (SD15)
The Bell Curve illustrates how cognitive ability is distributed across the general population, with the majority of individuals scoring within the average range (85–115)
To understand your score, it must be viewed in the context of the general population. We use the Standard Deviation (15) scale, which is the international benchmark for modern psychometrics. The table below illustrates how scores translate into percentiles and rarity.
| IQ Score (SD15) | Standard Deviation | Percentile | Rarity |
|---|---|---|---|
| 180+ | +5.33 SD | 99.999995% | 1 in 20,000,000 |
| 175+ | +5.0 SD | 99.9997% | 1 in 3,500,000 |
| 160+ | +4.0 SD | 99.997% | 1 in 31,560 |
| 145+ | +3.0 SD | 99.87% | 1 in 741 |
| 130+ | +2.0 SD | 97.7% | 1 in 44 (Mensa) |
| 115+ | +1.0 SD | 84.1% | 1 in 6 |
| 100 (Mean) | 0 SD | 50.0% | 1 in 2 |
| 85 | -1.0 SD | 15.9% | 1 in 6 |
| 70 | -2.0 SD | 2.3% | 1 in 44 |
Assessment Ranking & Pricing Tiers
Our pricing structure is directly integrated with the psychometric strength of each instrument. The table below ranks our assessments by their g-loading, reliability (Cronbach’s α), and validity correlation. Higher-tier assessments (Elite/Gold) command a premium due to their superior statistical power and extensive normative validation:
| Assessment | g-loading | Cronbach’s α | Correlation (r) | Tier | Price (USD) |
|---|---|---|---|---|---|
| VIPS I | 0.722 | 0.782 | 0.635 | Elite / Gold | $29.00 |
| VIPS II | 0.693 | 0.858 | 0.702 | High / Gold | $29.00 |
| AGLT | 0.696 | 0.876 | 0.519 | Strong / Silver | $24.00 |
| LAMT | 0.660 | 0.742 | 0.007 | Moderate | $15.00 |
| SRT | 0.399 | 0.891 | 0.256 | Standard | $9.00 |
Ready to Discover Your True Intellectual Potential?
Please find the normative data for the respective tests below:
Norms: N = 63
Norms: N = 76
Norms: N = 44
Norms: N = 62
Norms: N = 74
Professional Context & Disclaimer
While our assessments are engineered with high psychometric precision and provide a robust estimation of cognitive ability, they are intended for educational and research purposes. Our results are indicative of intellectual potential and should not be used as a substitute for a clinical diagnosis by a licensed psychologist (e.g., WAIS-IV). We aim to provide an accessible, high-range alternative for the cognitive research community.