In quantitative research — especially when using survey instruments — you need to demonstrate that your questionnaire measures what it is intended to measure. This is done by presenting validity evidence through structured tables.

Below are the most common validity tables used in theses, articles, and SPSS/AMOS-based research.


✅ Table 1: Convergent Validity Table

This table shows that the items within a construct are highly correlated and share a large amount of variance.

Construct CR AVE Interpretation
Academic Support 0.86 0.62 ✅ Convergent validity established
Learning Climate 0.89 0.66 ✅ Convergent validity established
Motivation 0.85 0.49 ⚠️ AVE < 0.50 – borderline convergent validity
Engagement 0.92 0.71 ✅ Strong convergent validity

📌 Rule of thumb: CR ≥ 0.70 and AVE ≥ 0.50 for acceptable convergent validity
(Hair et al., 2010; Kline, 2015)


✅ Table 2: Fornell–Larcker Table (Discriminant Validity)

Used to show that constructs are distinct from one another.

  Academic Support Learning Climate Motivation
Academic Support 0.79 0.62 0.58
Learning Climate 0.62 0.81 0.49
Motivation 0.58 0.49 0.76

🔍 Diagonal values are square roots of AVEs. These should be greater than all off-diagonal correlations in their rows/columns.


✅ Table 3: HTMT Table (Alternative Discriminant Validity Check)

Optional but increasingly used in newer SEM studies. It compares the Heterotrait–Monotrait ratios between constructs.

  Academic Support Learning Climate Motivation
Academic Support 0.72 0.67
Learning Climate 0.72 0.58
Motivation 0.67 0.58

📌 HTMT values should be < 0.85 (strict) or < 0.90 (liberal) to confirm discriminant validity
(Henseler, Ringle & Sarstedt, 2015)


✅ Table 4: Cross-loading Table (Exploratory Factor Analysis)

When using EFA, cross-loading tables help visualize how strongly each item loads onto each factor.

Item Factor 1: Support Factor 2: Motivation Factor 3: Engagement
S1 0.78 0.42 0.35
S2 0.81 0.38 0.22
M1 0.29 0.76 0.30
E1 0.32 0.25 0.84

✅ Good items load ≥ 0.50 on their factor and lower on others.


📌 How to Report in Your Thesis

In your Results chapter, place these tables and comment briefly:

“As shown in Table 1, all constructs met the threshold for convergent validity with CR > 0.70 and AVE > 0.50, except for Motivation which showed marginally acceptable AVE. Table 2 confirms discriminant validity as all diagonal values exceed corresponding correlations, in line with the Fornell–Larcker criterion.”


📝 Summary of Validity Table Use

Table Type Purpose When to Use
CR + AVE Table Convergent validity Always (after CFA or EFA)
Fornell–Larcker Table Discriminant validity CFA models
HTMT Table Alternative discriminant CFA (optional/advanced)
Cross-loading Table Factor loading comparisons EFA models
最后修改: 2025年08月24日 星期日 07:54