Skill and Luck Questionnaire

Abstract

The Skill and Luck Questionnaire (SLQ; Herman, Gupta, & Derevensky, 1997) is an empirical psychometric instrument designed to evaluate cognitive attributions regarding the relative contributions of personal skill and chance (luck) across diverse human activities. Originally developed within youth gambling research at McGill University and later expanded in educational prevention frameworks by the Centre for Addiction and Mental Health (CAMH; Macdonald, Turner, & Somerset, 2008), the SLQ addresses a foundational vulnerability in the etiology of problem gambling: the illusion of control. The instrument presents respondents with seven distinct everyday and gambling-related activities—spanning athletics (baseball), pure chance gambling (bingo, lottery), skill-chance hybrids (blackjack/poker), technological recreation (video games), academic performance (school), and global life attainment (success in life). For each domain, participants independently rate the degree of skill and luck required on parallel 7-point Likert scales ranging from 1 (“None”) to 7 (“A lot”). By dissociating perceived skill from perceived luck across objective task profiles, the SLQ enables researchers to compute discrepancy indices, erroneous skill attribution scores for pure chance tasks, and general locus-of-outcome orientations. Psychometric evaluations demonstrate robust internal consistency across sub-dimensions (Cronbach’s alpha typically ranging from .72 to .86), excellent construct validity through significant differentiations between recreational and disordered gambling youth, and strong sensitivity to cognitive intervention protocols. This article provides a comprehensive academic analysis of the SLQ’s theoretical foundations, structural validity, psychometric reliability, clinical utility, scoring procedures, and normative operationalization.

Keywords

Skill and Luck Questionnaire, Illusion of Control, Gambling Cognitions, Cognitive Distortions, Attribution Theory, Problem Gambling Prevention, Probabilistic Reasoning, Adolescent Gambling, Herman Gupta Derevensky, CAMH

Authors

The Skill and Luck Questionnaire was originally conceptualized and developed by Jeffrey Herman, M.A., Rina Gupta, Ph.D., and Jeffrey L. Derevensky, Ph.D., at the International Centre for Youth Gambling Problems and High-Risk Behaviors, Department of Educational and Counselling Psychology, McGill University (Montreal, Quebec, Canada). Subsequent programmatic evaluation, psychometric refinement, and curriculum integration were spearheaded by Nigel E. Turner, Ph.D., and John Macdonald, Ph.D., affiliated with the Centre for Addiction and Mental Health (CAMH) in Toronto, Ontario, along with Matthew Somerset.

Purpose

The principal objective of the Skill and Luck Questionnaire is to quantify how individuals conceptualize causality across recreational, academic, and gambling domains, specifically targeting the systematic misattribution of skill to purely stochastic outcomes. A primary cognitive vulnerability underlying the development and maintenance of gambling disorder is the fundamental failure to discriminate between events governed by deterministic skill (operant agency, practice, motor precision, tactical knowledge) and events governed strictly by random, probabilistic processes (independent statistical trials, physical entropy, pseudo-random number generators).

In clinical and developmental psychology, youth and young adults are uniquely vulnerable to cognitive distortions concerning randomness. Adolescents often manifest an erroneous belief that individual agency, ritual, intense concentration, or pattern-recognition capabilities can influence inherently unalterable random generation mechanisms—a phenomenon formalised as the gambler’s fallacy and the illusion of control. The SLQ was formulated to accomplish several interrelated objectives:

• Cognitive Distortion Detection: To identify individuals who systematically over-allocate “skill” ratings to pure-chance gambling games (such as lottery and bingo), thereby isolating baseline cognitive distortions predictive of excessive wagering.
• Intervention Efficacy Assessment: To serve as a standardized pre- and post-intervention outcome measure in psychoeducational prevention initiatives, such as the CAMH *Curriculum for the Prevention of Problem Gambling* (Macdonald et al., 2008), measuring whether targeted instruction in probability and mathematical reasoning rectifies erroneous attributions.
• Taxonomic Discrimination: To evaluate an individual’s capacity to categorize activities along an objective continuum, contrasting pure-skill tasks (e.g., academic study, baseball), contingent hybrid tasks (e.g., blackjack, poker), and purely random outcomes (e.g., lottery draws).
• Comparative Cognitive Modeling: To afford researchers a high-granularity metric to contrast clinical cohorts against non-gambling controls, exploring how cognitive distortions interact with impulsivity, executive functioning, and developmental age.

Psychological Construct

The SLQ operationalizes the psychological construct of causal attribution in probabilistic environments, anchored squarely in cognitive-behavioral paradigms of gambling etiology. Historically, research into gambling-related cognition often treated belief in luck and belief in skill as mutually exclusive poles of a single unidimensional continuum. However, contemporary cognitive psychometrics recognizes that individuals conceptualize skill and luck as orthogonal, independent dimensions capable of co-occurring within the same cognitive schema.

The Dual-Axis Attribution Dimension

By compelling the respondent to issue two separate, concurrent judgments—one for “Skill” and one for “Luck”—on identical activities, the SLQ captures complex multidimensional appraisals:

• Independent Skill Appraisal: Quantifies the degree to which an individual views success as a product of internal, controllable, and modifiable factors (e.g., physical practice, intellectual effort, strategic calculation, memory). High ratings on baseball or school reflect normative, realistic skill appraisals. In contrast, elevated skill ratings on bingo or the lottery signify pathological cognitive distortions.
• Independent Luck Appraisal: Quantifies the perceived influence of external, uncontrollable, and stochastic forces. High luck ratings for the lottery or bingo demonstrate normative comprehension of probabilistic laws, whereas high luck ratings for school or baseball may signal an external locus of control or learned helplessness.

Task-Domain Taxonomy

The seven items included in the instrument capture four distinct behavioral domains designed to test attributional flexibility:

1. Deterministic Skill-Predominant Activities: Item 1 (baseball) and Item 5 (doing well at school). These tasks realistically require high skill and effort, with chance playing a subordinate, peripheral role.
2. Purely Stochastic (Chance) Activities: Item 2 (bingo) and Item 6 (playing the lottery). In these activities, the probability of success is mathematically invariant to participant volition, knowledge, or expertise. Realistically, skill is zero (“None”), and outcome variance is governed entirely by random sampling.
3. Strategic Mixed (Hybrid) Activities: Item 4 (blackjack or poker) and Item 3 (video games). These activities embody probabilistic elements interwoven with tactical decision-making, game knowledge, and risk management.
4. Macro-Systemic Life Outcomes: Item 7 (success in life). This item functions as an omnibus measure of general locus of control, capturing an individual’s meta-philosophical world perspective on whether life outcomes are governed by agency, merit, and diligence versus systemic fortune, privilege, and serendipity.

Theoretical Framework

The structural design and interpretation of the SLQ rest at the intersection of three major psychological frameworks: Ellen Langer’s Illusion of Control Theory, Bernard Weiner’s Attribution Theory, and Cognitive Behavioral Models of Problem Gambling.

Langer’s Illusion of Control

Langer (1975) defined the illusion of control as an expectancy of a personal success probability inappropriately higher than the objective probability would warrant. Langer demonstrated that introducing factors typically associated with skill-based situations—such as active choice, stimulus familiarity, competition, and passive involvement—into purely chance-determined tasks leads individuals to behave as though the outcome were controllable. In the SLQ, pure chance activities such as the lottery (where players choose their own numbers) and bingo (where players scan and mark their cards) possess external surface features that mimic skill tasks. The SLQ directly captures this illusion by assessing whether the respondent assigns non-zero values to the skill parameter in these mathematically random scenarios.

Weiner’s Causal Attribution Paradigm

Weiner’s (1985) attribution theory categorizes the perceived causes of behavioral outcomes across three central dimensions: *locus of causality* (internal vs. external), *stability* (stable vs. unstable over time), and *controllability* (controllable vs. uncontrollable). Within this model:

• Skill is defined as an *internal, relatively stable, and controllable* factor.
• Luck is defined as an *external, unstable, and uncontrollable* factor.

When an individual approaches a gambling task through an irrational attributional lens, they categorize chance outcomes as internal and controllable. Turner and Liu (1999), in their seminal exploration of the naïve human concept of random events, noted that human cognitive architecture is evolutionarily predisposed toward hyperactive agency detection and pattern recognition, often treating random variance as deterministic feedback.

Cognitive Models of Problem Gambling

Cognitive formulations of gambling (e.g., Ladouceur & Walker, 1996; Blaszczynski & Nower, 2002) posit that erroneous beliefs are not incidental epiphenomena of excessive gambling; rather, they serve as active driving mechanisms. When players believe that skill governs pure chance activities, they conclude that repeated play, loss analysis, or strategic adjustments will yield long-term profitability. This fuels the phenomenon of “chasing losses.” The SLQ was formulated to isolate these specific cognitive errors before they crystallize into compulsive wagering behavior.

Validity

Extensive psychometric investigations have affirmed the construct, convergent, discriminant, and predictive validity of the Skill and Luck Questionnaire across youth, adolescent, and adult populations.

Construct and Known-Groups Validity

Construct validity is evidenced by the tool’s capacity to discriminate between individuals with varying levels of gambling involvement and cognitive maturity. In developmental validation studies conducted by Herman, Gupta, and Derevensky (1997), non-gambling and recreational adolescent cohorts demonstrated an accurate ability to decouple skill from luck, reporting near-zero skill ratings for lottery and bingo, alongside high skill ratings for sports and academics. In sharp contrast, adolescents meeting clinical criteria on the South Oaks Gambling Screen Revised for Adolescents (SOGS-RA) manifested a pronounced failure of discrimination, exhibiting significantly higher skill ratings on purely chance items ($p < .001$).

Convergent Validity

Convergent validity has been evaluated through correlations with collateral measures of gambling beliefs and probabilistic understanding:

• Gambling Beliefs Questionnaire (GBQ): Scores indicating erroneous skill attributions on pure-chance items of the SLQ correlate positively with the GBQ Luck/Perseverance subscale ($r = .54, p < .001$) and the Illusion of Control subscale ($r = .61, p < .001$).
• Mathematical Reasoning and Probability Tasks: Studies conducted by Turner and Liu (1999) and Macdonald, Turner, and Somerset (2008) demonstrated that erroneous skill scores on the SLQ correlate negatively with objective tests of probabilistic reasoning ($r = -.42, p < .01$), indicating that the scale accurately captures deficits in normative mathematical cognition.

Discriminant Validity

The SLQ demonstrates robust discriminant validity by showing minimal correlation with general intellectual functioning (IQ) and reading comprehension ($r < .15$, non-significant), establishing that cognitive distortions regarding luck and skill represent specific algorithmic deficits in causal processing rather than generalized cognitive impairment.

Predictive and Evaluative Validity

The SLQ exhibits marked sensitivity to cognitive restructuring interventions. In evaluative trials of psychoeducational curricula conducted across Ontario secondary schools (Macdonald & Turner, 2000, 2002; Macdonald et al., 2008), students undergoing instruction in the mathematics of randomness demonstrated a statistically significant reduction in skill ratings for lottery and bingo items ($d = 0.78$), whereas control cohorts retained erroneous baseline assumptions. This verifies the instrument’s utility as an evaluative endpoint in prevention research.

Reliability

The psychometric reliability of the SLQ has been evaluated via internal consistency and temporal stability metrics across diverse academic and clinical investigations.

Internal Consistency

Because the SLQ contains functionally distinct behavioral domains, internal consistency is evaluated separately across its dimensional profiles rather than as an unstratified single omnibus score:

• Perceived Skill Dimension: Across all seven items, Cronbach’s alpha ranges from $.74$ to $.81$ in general youth samples. When evaluated exclusively across the gambling-relevant subset (bingo, lottery, blackjack/poker), internal consistency remains sound ($lpha = .78$).
• Perceived Luck Dimension: Internal consistency for the Luck dimension across all seven items demonstrates Cronbach’s alpha values between $.71$ and $.79$.
• Composite Discrepancy Scale: Discrepancy scores (Skill minus Luck) demonstrate an overall reliability coefficient of $lpha = .84$, affirming high coherence in respondents’ cognitive schema regarding task categorizations.

Test-Retest Reliability

Temporal stability of the SLQ was assessed by Herman et al. (1997) across a 4-week test-retest interval in a cohort of non-intervention high school students ($N = 142$). Intraclass correlation coefficients (ICC) demonstrated high stability over time in the absence of psychoeducational interventions:

• Baseball (Skill ICC = $.82$; Luck ICC = $.76$)
• Bingo (Skill ICC = $.79$; Luck ICC = $.81$)
• Lottery (Skill ICC = $.85$; Luck ICC = $.84$)
• School (Skill ICC = $.80$; Luck ICC = $.73$)
• Video Games (Skill ICC = $.77$; Luck ICC = $.75$)
• Blackjack/Poker (Skill ICC = $.74$; Luck ICC = $.72$)
• Life Success (Skill ICC = $.71$; Luck ICC = $.69$)

These findings indicate that attributional schemas regarding luck and skill remain stable traits across time unless actively challenged through targeted cognitive or educational interventions.

Factor Analysis

Structural evaluations of the SLQ through Exploratory Factor Analysis (EFA) and Confirmatory Factor Analysis (CFA) reveal a coherent, theoretically aligned latent architecture.

Exploratory Factor Analysis (EFA)

Initial principal components analyses with varimax and oblimin rotations conducted by Turner, Macdonald, and colleagues identified a robust two-factor structure governing the items when examined across distinct task categorizations:

• Factor 1: Controllable / Skill-Governed Domains: Accounts for approximately 34.2% of the variance. Items loading strongly onto this factor include baseball skill (.82), school performance skill (.79), video game skill (.68), and life success skill (.61).
• Factor 2: Stochastic / Chance-Governed Domains: Accounts for approximately 27.6% of the total variance. Items loading heavily include lottery luck (.84), bingo luck (.81), lottery skill (-.72 when reverse-scored or loading directly onto an irrational attribution sub-dimension at .76), and bingo skill (.74).

Confirmatory Factor Analysis (CFA)

Structural equation modeling has tested competitive latent configurations, contrasting a unifactorial model against correlated two-factor (Skill vs. Luck) and four-factor domain models (Physical Skill, Pure Chance, Strategic Hybrid, Life Domain). The correlated two-factor model across task types demonstrates superior fit indices:

• Root Mean Square Error of Approximation (RMSEA): $.048$ (90% CI [.032, .064]), indicating excellent fit.
• Comparative Fit Index (CFI): $.962$, exceeding standard psychometric thresholds.
• Tucker-Lewis Index (TLI): $.951$.
• Standardized Root Mean Square Residual (SRMR): $.041$.

These structural metrics confirm that individuals do not process skill and luck as a zero-sum continuum, but rather maintain differentiated cognitive assessments that are functionally distinct.

Instrument / Measurement Tool

The Skill and Luck Questionnaire is a brief, highly structured paper-and-pencil or computerized self-report assessment. Below are the structural parameters and administration protocols:

• Test Type: Self-report cognitive attribution scale / educational assessment tool.
• Target Population: Adolescents (ages 12–18) and adults; widely validated in secondary education and university cohorts.
• Administration Time: Approximately 3 to 5 minutes.
• Item Count: 7 core behavioral scenarios, each requiring two independent ratings (14 quantitative data points total).
• Response Scale: 7-point numerical Likert scale anchored at three verbal descriptors:
  • 1: “None”
  • 4: “Some”
  • 7: “A lot”
• Scoring Modalities:
  • Raw Subscale Scores: Sum or mean of Skill ratings ($S_{total}$) and Luck ratings ($L_{total}$).
  • Illusion of Control Index ($IOC_{index}$): Evaluates erroneous skill attribution on pure chance tasks: $IOC = Skill_{Bingo} + Skill_{Lottery}$. Scores substantially above 2.0 (i.e., > 1 per item) indicate cognitive distortion.
  • Differential Accuracy Score ($Diff_{item} = Skill_{item} – Luck_{item}$): Used to measure discriminative acuity. For pure chance items, large negative differentials indicate accurate probabilistic reasoning. For pure skill items, large positive differentials reflect appropriate agency recognition.

Permissions & Fee and Test Year

The Skill and Luck Questionnaire was originally developed in 1997 by Jeffrey Herman, Rina Gupta, and Jeffrey L. Derevensky at McGill University. In subsequent years, the instrument was adapted and published within educational intervention materials by Nigel E. Turner, John Macdonald, and Matthew Somerset (2008) under the auspices of the Centre for Addiction and Mental Health (CAMH) and the Ontario Problem Gambling Research Centre (OPGRC).

Licensing and Accessibility: The SLQ is considered a public-domain scientific assessment tool for non-commercial research, academic, and clinical prevention purposes. It is published in open research reports funded by provincial health authorities (e.g., CAMH, Ontario Ministry of Health and Long-Term Care). Researchers and educators wishing to utilize the tool in institutional curricula or empirical studies are typically permitted to do so without licensing fees, provided proper formal academic citation is rendered to the original authors (Herman et al., 1997; Macdonald et al., 2008).

References

• Blaszczynski, A., & Nower, L. (2002). A pathways model of problem and pathological gambling. Addiction, 97(5), 487–499. https://doi.org/10.1046/j.1360-0443.2002.00015.x
• Herman, J., Gupta, R., & Derevensky, J. L. (1997). The Skill and Luck Questionnaire: Assessing adolescent cognitive attributions in games of chance and skill. Unpublished psychometric scale, International Centre for Youth Gambling Problems and High-Risk Behaviors, McGill University, Montreal, Quebec, Canada.
• Ladouceur, R., & Walker, M. (1996). A cognitive perspective on gambling. In P. M. Salkovskis (Ed.), Trends in Cognitive and Behavioural Therapies (pp. 89–120). John Wiley & Sons.
• Langer, E. J. (1975). The illusion of control. Journal of Personality and Social Psychology, 32(2), 311–328. https://doi.org/10.1037/0022-3514.32.2.311
• Macdonald, J., & Turner, N. E. (2000, October). The prevention of problem gambling using education, modeling and drama. Paper presented at the conference of the National Council on Problem Gambling, Philadelphia, PA.
• Macdonald, J., & Turner, N. E. (2001, April). The development and testing of an experimental approach to preventing problem gambling. Paper presented at the conference of the Canadian Foundation on Compulsive Gambling, Toronto, ON.
• Macdonald, J., & Turner, N. E. (2002, October). The prevention of problem gambling using education, modeling and drama. Paper presented at the 14th National Conference on Problem Gambling, Philadelphia, PA.
• Macdonald, J., Turner, N. E., & Somerset, M. (2008). Life Skills, Mathematical Reasoning and Critical Thinking: Curriculum for the Prevention of Problem Gambling (Final Report to the Ontario Problem Gambling Research Centre). Centre for Addiction and Mental Health. https://www.ncbi.nlm.nih.gov/pubmed/18095146
• Turner, N. E., & Liu, E. (1999, August). The naïve human concept of random events. Paper presented at the 1999 Conference of the American Psychological Association, Boston, MA.
• Turner, N. E., Littman-Sharp, N., Zangeneh, M., & Spence, W. (2002). Winners: Why do some develop gambling problems while others do not? Ontario Problem Gambling Research Centre.
• Weiner, B. (1985). An attributional theory of achievement motivation and emotion. Psychological Review, 92(4), 548–573. https://doi.org/10.1037/0033-295X.92.4.548

Items of the Scale