Scientific Methodology

How We Measure Intelligence: Transparent, Scientific, Trusted

Understanding the science and rigor behind your IQ assessment

We believe in complete transparency. Learn exactly how we measure intelligence, the psychometric standards we follow, and why millions trust our assessment for accurate cognitive evaluation.

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α = 0.94
Test Reliability Coefficient (Cronbach's Alpha)
2,200+
Calibration Sample Size (Statistical Power)
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73
Psychometrically Calibrated Items (IRT 3PL)
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8+
Quality Control Validity Indicators
Scientific Foundation

Built on Established Psychological Theory & Modern Psychometrics

Our assessment integrates decades of cognitive science research with cutting-edge Item Response Theory (IRT) and advanced statistical modeling

Intelligence testing isn't just about counting correct answers—it's a sophisticated psychometric science. Our methodology draws upon three major theoretical frameworks widely used in cognitive psychology and educational assessment research to deliver accurate, meaningful, and scientifically defensible results.

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Cattell-Horn-Carroll (CHC) Theory

Cattell, Horn & Carroll (1993-2012) - Gold Standard in Intelligence Research

The most comprehensive and empirically supported model of human cognitive abilities in modern psychology, organizing intelligence into hierarchical broad and narrow ability domains. This theoretical framework has influenced the development of many standardized cognitive assessments and provides a scientific foundation for understanding cognitive ability structure.

Broad Abilities (Stratum II) Fluid reasoning (Gf), crystallized knowledge (Gc), working memory capacity (Gwm), processing speed (Gs), visual-spatial thinking (Gv)
Narrow Abilities (Stratum I) Over 70 specific cognitive skills within each broad domain, providing granular assessment of intellectual functioning

Spearman's g-Factor Theory

Charles Spearman (1904) - Foundation of Modern Intelligence Testing

The foundational theory identifying general intelligence (g) as a common factor underlying all cognitive abilities, explaining why performance across different mental tasks correlates. This principle has been supported by over a century of factor-analytic research and thousands of peer-reviewed studies in cognitive psychology and psychometrics.

General Intelligence (g-Factor) Shared cognitive ability underlying all intellectual tasks, accounting for 40-50% of performance variance across cognitive domains
Specific Abilities (s-Factors) Domain-specific skills and knowledge including verbal, mathematical, spatial, and memory abilities
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Modern Psychometric Theory (IRT & CAT)

Contemporary Standards (1960-Present) - Widely Used in Educational and Psychological Assessment

Advanced measurement techniques including Item Response Theory (IRT), specifically the 3-Parameter Logistic Model (3PL) with Maximum A Posteriori (MAP) estimation, and Computerized Adaptive Testing (CAT) that improve measurement precision, reduce testing time, and provide superior accuracy compared to classical test theory. These methodologies represent contemporary best practices in psychometric assessment as documented in academic research literature.

Item Response Theory (IRT 3PL-MAP) Sophisticated mathematical models (difficulty, discrimination, guessing parameters) that precisely link item characteristics to latent ability levels using Newton-Raphson estimation
Computerized Adaptive Testing (CAT) Intelligent dynamic question selection based on real-time response patterns, maximizing Fisher Information and measurement precision at your specific ability level
Test Structure

Four Core Cognitive Domains

Comprehensive assessment across multiple aspects of intelligence

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Logical Reasoning (Fluid Intelligence - Gf)

Different Questions

Evaluates your ability to identify patterns, solve novel problems, and think abstractly without relying on prior knowledge—the purest measure of fluid intelligence (Gf) and the strongest predictor of learning potential, problem-solving capacity, and adaptability to new situations. This domain is highly correlated with academic achievement, career success in STEM fields, and general cognitive flexibility.

What We Measure:

  • Pattern recognition and completion
  • Deductive and inductive reasoning
  • Abstract problem solving
  • Logical consistency analysis
Sequences Matrix Reasoning Logic Puzzles
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Spatial Intelligence (Visual-Spatial Thinking - Gv)

Unique Questions

Measures your ability to visualize, manipulate, and reason about objects in space—critical for fields like engineering, architecture, design, aviation, surgery, and any profession requiring 3D mental modeling. Spatial intelligence is one of the eight key cognitive abilities identified by Howard Gardner and is strongly predictive of success in STEM careers, technical fields, and creative design professions.

What We Measure:

  • Mental rotation of 3D objects
  • Spatial visualization skills
  • Pattern transformation
  • Geometric reasoning
3D Rotation Folding Tasks Visual Patterns
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Verbal Comprehension (Crystallized Intelligence - Gc)

Random Questions

Assesses language understanding, vocabulary depth, verbal reasoning, and the ability to comprehend and manipulate linguistic information effectively. Verbal intelligence is the strongest predictor of academic achievement in humanities, social sciences, law, and business. This domain reflects crystallized intelligence (Gc)—accumulated knowledge and skills acquired through education and cultural experience—and is highly correlated with career success in leadership, communication, education, law, journalism, and any field requiring strong language skills.

What We Measure:

  • Vocabulary and word meaning
  • Verbal analogies and relationships
  • Reading comprehension
  • Linguistic pattern recognition
Analogies Synonyms Verbal Logic
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Working Memory (Short-Term Memory Capacity - Gwm)

1 Correct Answer

Evaluates your capacity to hold and manipulate information in mind simultaneously—essential for complex reasoning, learning, academic achievement, and real-world problem-solving. Working memory capacity (Gwm) is one of the most robust predictors of fluid intelligence, academic performance, reading comprehension, mathematical ability, and professional success in cognitively demanding careers. Research by cognitive psychologists like Alan Baddeley and Nelson Cowan has established working memory as a fundamental bottleneck in human cognition and a critical component of intellectual ability.

What We Measure:

  • Information retention capacity
  • Mental manipulation of data
  • Attention control
  • Cognitive processing efficiency
Sequence Recall Mental Math Information Integration
Psychometric Validation

How We Ensure Accuracy

Rigorous testing and validation using professional psychometric standards

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Exceptional Test Reliability

α = 0.94

Outstanding internal consistency measured by Cronbach's alpha (α = 0.94), exceeding the 0.90 threshold widely recognized in psychometric literature for high-quality cognitive assessments. This coefficient demonstrates that our test produces exceptionally stable and reproducible results across different test administrations. Our reliability methodology follows established psychometric principles similar to those used in standardized cognitive assessments, and aligns with testing standards outlined in professional guidelines from organizations such as the American Psychological Association (APA) and American Educational Research Association (AERA).

Domain-Specific Reliability Range α = 0.88 - 0.92 (Excellent)
Methodology Cronbach's Alpha (CTT) + Split-Half
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Advanced IRT Psychometric Modeling

3PL-MAP

State-of-the-art Three-Parameter Logistic Model (3PL) with Maximum A Posteriori (MAP) estimation—a widely recognized standard in modern psychometric assessment. Our IRT approach employs methodologies similar to those used by major testing organizations for standardized assessments, providing superior measurement precision compared to Classical Test Theory (CTT). The model adapts to individual ability levels and delivers accurate ability estimates even with incomplete response data. This methodology is well-documented in leading psychometric research journals including Psychometrika, Applied Psychological Measurement, and Journal of Educational Measurement.

Estimation Algorithm Newton-Raphson ML Convergence
Precision Optimization Fisher Information Maximization
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Large-Scale Normative Database

N = 2,200+

Extensive, demographically diverse calibration sample (N = 2,200+) providing robust statistical power (>0.99) for accurate IQ score calculation and precise percentile rankings across different populations, age groups, educational backgrounds, and cultural contexts. Our normative sample size exceeds minimum thresholds commonly cited in psychometric literature for test development (typically N = 500-1000). The sample is stratified by age, gender, education level, and geographic region to ensure representative norms. We continuously collect response data to refine and update our normative database, accounting for demographic shifts and the Flynn Effect documented in cognitive assessment research.

Standardized Scoring Scale μ = 100, σ = 15 (Wechsler)
Developmental Normalization 6 Age Bands (13-50+ years)
Scoring System

How Your IQ Score Is Calculated

Transparent methodology using advanced psychometric algorithms

Your IQ score isn't just the number of correct answers. We use sophisticated mathematical models to estimate your true cognitive ability level, accounting for question difficulty, your response patterns, and statistical precision.

Our 4-Step Scoring Process

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Response Pattern Analysis

We analyze which questions you answered correctly and incorrectly, considering each item's calibrated difficulty, discrimination, and guessing parameters from our database.

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IRT Ability Estimation

Using 3PL-MAP with Newton-Raphson iteration, we estimate your latent ability level (theta) that best explains your response pattern, converging to optimal precision.

3

Age-Adjusted Normalization

We apply developmental scaling across 6 age bands (13-15, 16-17, 18-24, 25-34, 35-49, 50+) to ensure fair comparison within your age group.

4

IQ Transformation

Your ability estimate is transformed to the Wechsler IQ scale (mean=100, SD=15), providing a standardized score that's globally recognized and interpretable.

IQ Score Distribution (Wechsler Scale)

145+ Exceptionally High
0.1% of population
130-144 Very Superior
2.1% of population
115-129 High Average
13.6% of population
85-114 Average
68.2% of population
70-84 Low Average
13.6% of population
55-69 Borderline
2.1% of population
40-54 Extremely Low
0.1% of population
Quality Assurance

How We Maintain Test Integrity

Multiple layers of quality control ensure accurate, valid results

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Person-Fit Analysis

We detect inconsistent response patterns that may indicate random guessing, carelessness, or invalid testing conditions.

  • Guttman scalogram analysis for response consistency
  • Lz statistic for aberrant response detection
  • Response time outlier identification (<2 seconds)
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Validity Indicators

Eight quality flags monitor test-taking behavior and alert when results may not accurately reflect true ability.

  • Rapid responding detection (validity penalty)
  • Poor model fit identification
  • Profile scatter analysis for consistency
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Precision Measurement

We calculate confidence intervals around your score to communicate measurement uncertainty transparently.

  • Standard Error of Measurement (SEM) calculation
  • 90%, 95%, and 99% confidence intervals
  • Test Information Function analysis
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Continuous Calibration

Item parameters are stored in a PostgreSQL database and regularly updated based on new response data to maintain accuracy.

  • Database-backed item calibration system
  • Dynamic parameter estimation
  • Regular psychometric audits and updates
Transparency

What This Test Can Do For You

Honest about our capabilities and limitations

We believe in complete transparency. While our test is scientifically rigorous and highly accurate, it's important to understand both its strengths and its limitations.

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Important Disclaimer

This assessment is not a licensed clinical instrument and is not intended for diagnosis, clinical decision-making, or legal purposes. While it applies established psychometric principles documented in cognitive psychology research, it does not replace professionally administered tests conducted by licensed psychologists in controlled clinical settings. Our test is designed for personal insight, educational exploration, and self-development purposes.

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Professional-Grade Cognitive Insight

Our assessment delivers comprehensive cognitive ability analysis using the same psychometric principles trusted by professional psychologists worldwide. You gain deep insight into your intellectual strengths and cognitive profile.

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Complete Intelligence Picture

Beyond traditional IQ metrics, you discover your unique cognitive fingerprint across logical reasoning, spatial intelligence, verbal comprehension, and working memory—giving you actionable insights into how your mind excels.

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Globally Accessible Assessment

Our test is available in multiple languages with culturally adapted questions and diverse normative samples, designed to provide accurate cognitive ability assessment regardless of your background or native language. We continuously expand our validation data across different populations and cultural contexts.

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Your Growth Roadmap

Your results provide a baseline for tracking intellectual development over time. Intelligence is trainable—our assessment shows you exactly where you are now and which cognitive skills you can strengthen through targeted practice.

Unlock Your Potential With Our Assessment

What You'll Gain:

  • Deep understanding of your unique cognitive strengths and intellectual advantages
  • Strategic insights to accelerate your academic success and career advancement
  • Clear direction on which fields and roles maximize your natural talents
  • Competitive edge through global intelligence benchmarking and percentile rankings

Additional Applications:

  • Optimize learning strategies based on your cognitive profile
  • Enhance team dynamics by understanding diverse thinking styles
  • Track intellectual growth and development over time
  • Build confidence in your abilities with data-driven validation
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Now that you understand our methodology, discover your cognitive strengths with confidence.

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