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Table 2. 
Experiment 1 Regression Results
MeasureSourcebSSMSEFpPRE
Proportion correct Between-participant 0.799 24.263 0.011 2231.398 * .984 
Linear Block 0.023 0.020 0.001 14.968 * .288 
Quadratic Block 0.008 0.003 0.006 0.420 .521 .011 
Cubic Block 0.012 0.005 0.001 6.564 .015 .151 
Perceptual + Analogy vs. System 0.286 3.103 0.006 556.048 * .938 
Perceptual vs. Analogy 0.162 0.997 0.031 31.816 * .462 
Linear Block × Perceptual + Analogy vs. System * * 0.005 0.002 .964 * 
Linear Bock × Perceptual vs. Analogy −0.038 0.056 0.006 8.742 .005 .191 
Quadratic Block × Perceptual + Analogy vs. System −0.146 0.805 0.031 25.752 * .410 
Quadratic Block × Perceptual vs. Analogy 0.028 0.030 0.019 1.551 .221 .040 
Cubic Block × Perceptual + Analogy vs. System −0.007 0.002 0.005 0.355 .555 .009 
Cubic Block × Perceptual vs. Analogy −0.006 0.001 0.004 0.411 .525 .011 
Correct RT Between-participant 3439 449,525,947 938,032 479.22 * .928 
Linear Block 576 12,612,017 156,241 80.72 * .686 
Quadratic block −572 12,443,213 603,149 20.63 * .358 
Cubic block 164 1,015,956 56,565 17.96 * .327 
Perceptual + Analogy vs. System 2272 196,161,789 1,807,925 108.50 * .746 
Perceptual vs. Analogy 1308 65,047,834 441,803 147.23 * .799 
Linear Block × Perceptual + Analogy vs. System 67 168,493 353,708 0.48 .494 .013 
Linear Bock × Perceptual vs. Analogy 283 3,051,728 330,301 9.24 .004 .200 
Quadratic Block × Perceptual + Analogy vs. System 119 536,851 1,487,774 0.36 .552 .010 
Quadratic Block × Perceptual vs. Analogy −485 8,943,544 1,004,730 8.90 .005 .194 
Cubic Block × Perceptual + Analogy vs. System 51 97,759 320,330 0.31 .584 .008 
Cubic Block × Perceptual vs. Analogy 55 116,768 71,226 1.64 .208 .042 
MeasureSourcebSSMSEFpPRE
Proportion correct Between-participant 0.799 24.263 0.011 2231.398 * .984 
Linear Block 0.023 0.020 0.001 14.968 * .288 
Quadratic Block 0.008 0.003 0.006 0.420 .521 .011 
Cubic Block 0.012 0.005 0.001 6.564 .015 .151 
Perceptual + Analogy vs. System 0.286 3.103 0.006 556.048 * .938 
Perceptual vs. Analogy 0.162 0.997 0.031 31.816 * .462 
Linear Block × Perceptual + Analogy vs. System * * 0.005 0.002 .964 * 
Linear Bock × Perceptual vs. Analogy −0.038 0.056 0.006 8.742 .005 .191 
Quadratic Block × Perceptual + Analogy vs. System −0.146 0.805 0.031 25.752 * .410 
Quadratic Block × Perceptual vs. Analogy 0.028 0.030 0.019 1.551 .221 .040 
Cubic Block × Perceptual + Analogy vs. System −0.007 0.002 0.005 0.355 .555 .009 
Cubic Block × Perceptual vs. Analogy −0.006 0.001 0.004 0.411 .525 .011 
Correct RT Between-participant 3439 449,525,947 938,032 479.22 * .928 
Linear Block 576 12,612,017 156,241 80.72 * .686 
Quadratic block −572 12,443,213 603,149 20.63 * .358 
Cubic block 164 1,015,956 56,565 17.96 * .327 
Perceptual + Analogy vs. System 2272 196,161,789 1,807,925 108.50 * .746 
Perceptual vs. Analogy 1308 65,047,834 441,803 147.23 * .799 
Linear Block × Perceptual + Analogy vs. System 67 168,493 353,708 0.48 .494 .013 
Linear Bock × Perceptual vs. Analogy 283 3,051,728 330,301 9.24 .004 .200 
Quadratic Block × Perceptual + Analogy vs. System 119 536,851 1,487,774 0.36 .552 .010 
Quadratic Block × Perceptual vs. Analogy −485 8,943,544 1,004,730 8.90 .005 .194 
Cubic Block × Perceptual + Analogy vs. System 51 97,759 320,330 0.31 .584 .008 
Cubic Block × Perceptual vs. Analogy 55 116,768 71,226 1.64 .208 .042 

All effects are the intercept term; degrees of freedom for each source and error are 1 and 37, respectively. PRE = proportional reduction in error (ηp2).

*

Values < .001.

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