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Hierarchical Regression Analysis With Interaction Effects

Thesis subsection: Hierarchical Regression Analysis With Interaction Effects

Chapter 04.3

4.3. Hierarchical Regression Analysis With Interaction Effects

Initially, two three-step hierarchical regression analyses were conducted with the target variables overall empathy (QCAE) and overall mentalisation (MentS). Afterwards, QCAE’s Cognitive Empathy and Affective Empathy subscales, and MentS’ Self-Related and Other-Related subscales were selected as target variables as well. In the first step, the demographic variables age, sex, and monthly spending were modelled as control variables. In the second step, the main predictors of book count, overall existential concerns score, state anxiety, and trait anxiety scores were added. In the last step, the interaction between book count and the other main predictors were added. Regarding the control variables, monthly spending and education level were recoded into broader categories to address low cell sizes. Collapsed groupings and their respective sample sizes are shown in Table 7 below.

Collapsed GroupOriginal Group(s)n%
Sex
Male5019.4
Monthly spending
    0–15,000 TL    0–15,000 TL10239.5
    15,001–30,000 TL    15,001–30,000 TL8834.1
    30,001–45,000 TL    30,001–45,000 TL3513.6
    Over 45,000 TL    All 4 groups over 45,000 TL3312.8
Highest education
    Non-university    High school degree, Associate degree18170.2
    University    Bachelor’s degree, Master’s degree, PhD7729.8

Table 7\ Collapsed groups for monthly spending and highest education

Note. Frequencies for the original categories are reported in Table 1 (see the Methods section)

4.3.1. Overall Empathy

Table 8 presents the results of the hierarchical regression analysis predicting overall empathy.

Table 8
Overall empathy hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age-6.608.54-.06-0.77.440

Sex

(ref = Male)

    Female9.431.76.325.36< .001

Highest Education

(ref = Non-university)

    University-0.171.82-.01-0.09.925

Monthly Spending

(ref = 0–15,000 TL)

    15,001–30,000 TL1.741.63.071.07.287
    30,001–45,000 TL1.002.17.030.46.645
    Above 45,000 TL5.492.28.162.41.017
Step 2: Main Predictors
Books2.370.96.152.48.014
ECQ0.120.05.192.39.018
STAI–S0.020.07.020.33.742
STAI–T-0.080.11-.06-0.67.504
Step 3: Interaction Terms
Books × ECQ-0.050.07-.06-0.78.435
Books × STAI–S0.000.00.010.10.917
Books × STAI–T0.000.01.010.17.866

Note. Step 1: F(6, 251) = 6.57, p = < .001, R² = .14.

Step 2: ΔR² = .05, Fchange(4, 247) = 3.91, pchange = .004;

F(10, 247) = 5.69, p < .001, R² = .19.

Step 3: ΔR² = .00, Fchange(3, 244) = 0.29, pchange = .831;

F(13, 244) = 4.41, p < .001, R² = .19.

Demographic variables explained 14% of the variance in empathy, R² = .14, F(6, 251) = 6.57, p < .001. Being female significantly predicted higher empathy scores (β = .32, p < .001), and participants with higher income (above 45,000 TL) showed significantly greater empathy (β = .16, p = .017); other covariates were non-significant (|β| ≤ .07, ps ≥ .287). Adding the main predictors accounted for an additional 5% of variance, ΔR² = .05, Fchange(4, 247) = 3.91, pchange = .004; total R² = .19, F(10, 247) = 5.69, p < .001. Both book count (β = .15, p = .014) and existential concerns (β = .19, p = .018) were significant positive predictors of empathy, while trait and state anxiety were not (|β| ≤ .06, ps ≥ .504). Interaction terms did not contribute additional explanatory power, ΔR² = .00, Fchange(3, 244) = 0.29, pchange = .831; final R² remained at .19, F(13, 244) = 4.41, p < .001. Overall, greater literary exposure and existential concerns were associated with higher empathy, independent of sex and income, while anxiety and interaction effects played no meaningful role.

4.3.2. Overall Mentalisation

Table 9 presents the results of the hierarchical regression analysis predicting overall mentalisation.

Table 9
Overall mentalisation hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age23.659.33.192.53.012

Sex

(ref = Male)

    Female4.481.92.142.33.021

Highest Education

(ref = Non-University)

    University-1.151.99-.04-0.58.563

Monthly Spending

(ref = 0–15,000 TL)

    15,001–30,000 TL-1.801.78-.07-1.01.312
    30,001–45,000 TL-2.372.37-.07-1.00.318
    Above 45,000 TL0.642.49.020.26.797
Step 2: Main Predictors
Books1.011.01.061.01.315
ECQ0.030.05.050.57.567
STAI–S0.040.07.040.48.632
STAI–T-0.540.12-.40-4.55< .001
Step 3: Interaction Terms
Books × ECQ-0.050.07-.06-0.75.456
Books × STAI–S-0.010.01-.07-0.91.364
Books × STAI–T-0.000.00-.02-0.22.827

Note. Step 1: F(6, 251) = 2.54, p = = .021, R² = .06.

Step 2: ΔR² = .12, Fchange(4, 247) = 9.04, pchange < .001;

F(10, 247) = 5.34, p < .001, R² = .18.

Step 3: ΔR² = .01, Fchange(3, 244) = 0.64, pchange = .592;

F(13, 244) = 4.23, p < .001, R² = .18.

Demographic variables accounted for 6% of the variance in mentalisation, R² = .06, F(6, 251) = 2.54, p = .021. Age significantly predicted higher mentalisation (β = .19, p = .012), and female sex was associated with higher scores (β = .14, p = .021); education and income were not significant predictors (|β| ≤ .07, ps ≥ .312). Adding the main predictors increased explained variance by 12%, ΔR² = .12, Fchange(4, 247) = 9.04, pchange < .001; total R² = .18, F(10, 247) = 5.34, p < .001. Trait anxiety was the only significant predictor in this block (β = –.40, p < .001); book count, existential concerns, and state anxiety were not significant (|β| ≤ .06, ps ≥ .315). Interaction terms did not contribute additional variance, ΔR² = .01, Fchange(3, 244) = 0.64, p = .592; final R² remained .18, F(13, 244) = 4.23, p < .001. Overall, greater age, female sex, and lower trait anxiety predicted higher mentalisation, with no evidence that literary exposure or its interactions significantly contributed to the model.

4.3.3. Cognitive Empathy

Table 10 presents the results of the hierarchical regression analysis predicting cognitive empathy.

Table 10


Cognitive empathy hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age-5.895.99-.07-0.98.326

Sex

(ref = Male)

    Female4.211.23.213.42< .001

Highest Education

(ref = Non-University)

    University0.211.28.010.17.868

Monthly Spending

(ref = 0–15,000 TL)

    15,001–30,000 TL1.881.14.111.64.102
    30,001–45,000 TL0.281.52.010.19.853
    Above 45,000 TL3.601.60.152.25.025
Step 2: Main Predictors
Books1.370.67.122.04.043
ECQ0.090.04.202.44.015
STAI–S0.010.05.010.16.875
STAI–T-0.160.08-.18-2.05.041
Step 3: Interaction Terms
Books × ECQ-0.020.05-.03-0.40.688
Books × STAI–S0.000.00.00-0.06.954
Books × STAI–T0.000.00-.03-0.40.690

Note. Step 1: F(6, 251) = 3.51, p = .002, R² = .08.

Step 2: ΔR² = .04, Fchange(4, 247) = 3.05, pchange = .018;

F(10, 247) = 3.39, p < .001, R² = .12.

Step 3: ΔR² = .00, Fchange(3, 244) = 0.14, pchange = .935;

F(13, 244) = 2.62, p = .002, R² = .12.

Demographic control variables accounted for 8% of the variance in cognitive empathy, R² = .08, F(6, 251) = 3.51, p = .002. Female sex predicted higher cognitive empathy (β = .21, p < .001), and higher monthly spending (above 45,000 TL) was also associated with higher scores (β = .15, p = .025); other covariates were non-significant (|β| ≤ .11, ps ≥ .102). The addition of main predictors explained an additional 4% of variance, ΔR² = .04, Fchange(4, 247) = 3.05, pchange = .018; total R² = .12, F(10, 247) = 3.39, p < .001. Greater existential concerns (β = .20, p = .015), higher book count (β = .12, p = .043), and lower trait anxiety (β = –.18, p = .041) significantly predicted higher cognitive empathy, while state anxiety was not significant (β = .01, p = .875). Interaction terms did not improve model fit, ΔR² = .00, Fchange(3, 244) = 0.14, pchange = .935; final R² = .12, F(13, 244) = 2.62, p = .002. No interaction term reached significance (|β| ≤ .03, ps ≥ .688). After accounting for demographic variables, cognitive empathy was significantly predicted by existential concerns, literary exposure, and trait anxiety, while interactions yielded no additional explanatory value.

4.3.4. Affective Empathy

Table 11 presents the results of the hierarchical regression analysis predicting affective empathy.

Table 11
Affective empathy hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age-0.713.87-.01-0.18.854

Sex

(ref = Male)

    Female5.210.80.386.54< .001

Highest Education

(ref = Non-University)

    University-0.380.83-.03-0.46.643

Monthly Spending

(ref = 0–15,000 TL)

    15,000–30,000 TL-0.140.74-.01-0.19.850
    30,000–45,000 TL0.720.99.050.73.466
    Above 45,000 TL1.891.03.121.82.069
Step 2: Main Predictors
Books0.990.42.132.34.020
ECQ0.030.02.111.49.137
STAI–S0.020.03.030.49.624
STAI–T0.090.050.151.76.080
Step 3: Interaction Terms
Books × ECQ-0.030.03-.08-1.12.262
Books × STAI–S0.000.00.020.33.744
Books × STAI–T0.000.00.071.02.308

Note. Step 1: F(6, 251) = 8.59, p < .001, R² = .17.

Step 2: ΔR² = .08, Fchange(4, 247) = 6.95, pchange < .001;

F(10, 247) = 8.42, p < .001, R² = .25.

Step 3: ΔR² = .01, Fchange(3, 244) = 0.92, pchange = .430;

F(13, 244) = 6.69, p < .001, R² = .26.

Control variables explained 17% of the variance in affective empathy, R² = .17, F(6, 251) = 8.59, p < .001. Being female was a strong positive predictor (β = .38, p < .001), while age, education, and income brackets were non-significant (|β| ≤ .12, ps ≥ .069). Adding the main predictors increased explained variance by 8%, ΔR² = .08, Fchange(4, 247) = 6.95, pchange < .001, yielding R² = .25, F(10, 247) = 8.42, p < .001. Literary exposure was a significant positive predictor (β = .13, p = .020), and trait anxiety showed a marginal positive association (β = .15, p = .080); existential concerns and state anxiety were non-significant (|β| ≤ .11, ps ≥ .137). Interaction terms added only 1% to the explained variance, ΔR² = .01, Fchange(3, 244) = 0.92, pchange = .430, with no significant interactions (|β| ≤ .08, ps ≥ .262). Overall, affective empathy was higher in females and among those with greater literary exposure, and trait anxiety showed a trend-level positive association, though this did not reach significance.

Table 12 presents the results of the hierarchical regression analysis predicting other-oriented mentalisation.

Table 12
Other-related mentalisation hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age2.183.80.040.57.567

Sex

(ref = Male)

    Female1.850.78.152.36.019

Highest Education

(ref = Non-University)

    University0.570.81.050.70.486

Monthly Spending

(ref = 0–15,000 TL)

    15,001–30,000 TL-0.510.73-.05-0.71.480
    30,001–45,000 TL-0.540.97-.04-0.56.579
    Above 45,000 TL0.341.02.020.33.739
Step 2: Main Predictors
Books0.480.43.071.12.265
ECQ0.060.02.232.75.006
STAI–S0.020.03.060.78.434
STAI–T-0.180.05-.33-3.61< .001
Step 3: Interaction Terms
Books × ECQ-0.040.03-.10-1.30.196
Books × STAI–S0.000.00.000.04.972
Books × STAI–T0.000.00-.05-0.70.482

Note. Step 1: F(6, 251) = 1.46, p = .191, R² = .03.

Step 2: ΔR² = .06, Fchange(4, 247) = 4.12, pchange = .003;

F(10, 247) = 2.57, p = .006, R² = .09.

Step 3: ΔR² = .01, Fchange(3, 244) = 0.94, pchange = .423;

F(13, 244) = 2.19, p = .001, R² = .10.

Demographic variables accounted for 3% of the variance in other-related mentalisation, R² = .03, F(6, 251) = 1.46, p = .191. None of the control variables reached significance (|β| ≤ .15, ps ≥ .019). Adding the main predictors increased explained variance by 6%, ΔR² = .06, Fchange(4, 247) = 4.12, pchange = .003; total R² = .09, F(10, 247) = 2.57, p = .006. Higher existential concerns significantly predicted greater other-related mentalisation (β = .23, p = .006), while higher trait anxiety was associated with lower scores (β = –.33, p < .001); book count and state anxiety were non-significant (|β| ≤ .08, ps ≥ .153). Interaction terms added only 1% to the variance, ΔR² = .01, Fchange(3, 244) = 0.94, pchange = .423; final R² = .10, F(13, 244) = 2.19, p = .001. No interaction reached significance (|β| ≤ .10, ps ≥ .196). Overall, greater existential concerns and lower trait anxiety were associated with stronger other-related mentalisation, while literary exposure and its interactions did not yield meaningful effects.

Table 13 presents the results of the hierarchical regression analysis predicting self-oriented mentalisation.

Table 13
Self-related mentalisation hierarchical regression model

PredictorBSEβtp
Step 1: Control Variables
Age15.145.17.222.93.004

Sex

(ref = Male)

    Female-0.371.06-.02-0.34.731

Highest Education

(ref = Non-University)

    University-0.871.10-0.06-0.79.430

Monthly Spending

(ref = 0–15,000 TL)

    15,000–30,000 TL-0.970.99-.07-0.98.329
    30,000–45,000 TL-0.271.31-.01-0.20.838
    Above 45,000 TL-0.281.38-.01-0.21.837
Step 2: Main Predictors
Books-0.020.47.00-0.04.964
ECQ-0.110.02-.30-4.39< .001
STAI–S0.020.03.030.47.637
STAI–T-0.300.06-.40-5.47< .001
Step 3: Interaction Terms
Books × ECQ0.030.03.060.92.358
Books × STAI–S0.000.00-.08-1.26.209
Books × STAI–T0.000.00-.06-0.93.352

Note. Step 1: F(6, 251) = 1.74, p = .113, R² = .04.

Step 2: ΔR² = .37, Fchange(4, 247) = 38.04, pchange < .001;

F(10, 247) = 16.87, p < .001, R² = .41.

Step 3: ΔR² = .01, Fchange(3, 244) = 0.89, pchange = .445;

F(13, 244) = 13.17, p < .001, R² = .41.

Demographic variables accounted for 4% of the variance in self-related mentalisation R² = .04, F(6, 251) = 1.74, p = .113. Age significantly predicted higher self-related mentalisation (β = .22, p = .004), whereas sex, education, and monthly spending were non-significant (|β| ≤ .07, ps ≥ .329). Adding the main predictors markedly increased explained variance, ΔR² = .37, Fchange(4, 247) = 38.04, pchange < .001; total R² = .41, F(10, 247) = 16.87, p < .001. Greater existential concerns (β = –.30, p < .001) and higher trait anxiety (β = –.40, p < .001) predicted lower self-related mentalisation, whereas book count and state anxiety were non-significant (|β| ≤ .03, ps ≥ .637). Interaction terms did not improve the model, ΔR² = .01, Fchange(3, 244) = 0.89, pchange = .445; final R² = .41, F(13, 244) = 13.17, p < .001. No interaction reached significance (|β| ≤ .08, ps ≥ .209). Overall, older participants reported higher self-related mentalisation, while existential concerns and trait anxiety were associated with lower scores; literary exposure, state anxiety, and their interactions did not yield reliable effects.

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