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The mnemonic keyword method: The effects of bidirectional retrieval ...

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M. Wyra et al. / Learning and Instruction 17 (2007) 360e371<br />

367<br />

Table 4<br />

Final estimation <strong>of</strong> fixed <strong>effects</strong> for the FWR and BWR models<br />

Variable Null model Level-1 model Final model<br />

Coefficient SE P-value Coefficient SE P-value Coefficient SE P-value<br />

FWR<br />

Level-2 Intercept, g 00 6.16 0.39 0.00 6.16 0.39 0.00 4.48 0.46 0.00<br />

(Between-student) YRLEVEL, g 01 1.56 0.66 0.02<br />

TREATMNT, g 02 1.68 0.63 0.01<br />

AMI, g 03 0.12 0.03 0.00<br />

Level-1 OCCASION, g 10 0.56 0.08 0.00 0.43 0.08 0.00<br />

(Within student) Interaction with SCHOOL2, g 11 0.36 0.15 0.02<br />

LEARNING, g 20 1.11 0.22 0.00 1.11 0.22 0.00<br />

BWR<br />

Level-2 Intercept, g 00 3.07 0.28 0.00 3.07 0.28 0.00 1.67 0.25 0.00<br />

(Between-student) YRLEVEL, g 01 0.89 0.39 0.02<br />

TREATMNT, g 02 1.83 0.43 0.00<br />

AMI, g 03 0.06 0.02 0.01<br />

Level-1 OCCASION, g 10 0.49 0.06 0.00 0.25 0.06 0.00<br />

(Within-student) Interaction with TREATMNT, g 11 0.26 0.10 0.01<br />

Interaction with SCHOOL2, g 12 0.30 0.08 0.00<br />

LEARNING, g 20 1.65 0.17 0.00 1.65 0.17 0.00<br />

Variable Level-1 descriptive statistics Level-2 descriptive statistics<br />

N Mean SD Min. Max. Variable J Mean SD Min. Max.<br />

FWR 344 6.18 3.67 0 11 YRLEVEL 71 0.54 0.50 0 1<br />

BWR 344 3.11 2.74 0 11 TREATMNT 71 0.51 0.50 0 1<br />

OCCASION 355 2.00 1.42 0 4 AMI 71 44.82 8.99 21 60<br />

LEARNING 355 0.20 0.40 0 1 SCHOOL2 71 0.37 0.49 0 1<br />

corresponding figures for backward recall were 15.2% and 31.8%. <strong>The</strong> effect for backward recall is <strong>of</strong> particular note<br />

given the very low level <strong>of</strong> recall for non-treatment students in this study and the levels <strong>of</strong> backward recall that has<br />

been found in other research (Ellis & Beaton, 1993). In addition, students with higher AMI scores outperformed their<br />

counterparts in both forward and backward recall. <strong>The</strong> ability to make images was associated with slightly improved<br />

recall, the effect being stronger for forward than backward recall.<br />

<strong>The</strong> results in Table 4 also show significant cross-level interaction <strong>effects</strong> (a) between OCCASION and SCHOOL2<br />

for both FWR and BWR, and (b) between OCCASION and TREATMNT for BWR. Fig. 1 is a graphical representation<br />

<strong>of</strong> the interaction effect between OCCASION and TREATMNT for backward recall. <strong>The</strong> co-ordinates for this graph<br />

were calculated using the procedure described by Aiken and West (1996) and Lietz (1996). Fig. 1 shows that, when<br />

other factors are equal, time had more impact on backward recall <strong>of</strong> the experimental group than on backward recall <strong>of</strong><br />

the control group. Thus, the experimental group was on average better than the control group in backward recall and<br />

also improved at a greater rate in backward recall than the control group.<br />

Table 5<br />

Variance explained in the final FWR and BWR models<br />

FWR<br />

BWR<br />

Within Between Total Within Between Total<br />

(a) Null model 2.95 10.47 13.43 2.39 5.01 7.40<br />

(b) Final model 1.27 7.22 1.43 3.35<br />

(c) Variance available 22.0% 78.0% 32.3% 67.7%<br />

(d) Variance explained 57.0% 31.1% 40.2% 33.1%<br />

(e) Total variance explained 12.5% 24.3% 36.8% 13.0% 22.5% 35.4%<br />

(f) Variance left unexplained 9.5% 53.7% 63.2% 19.3% 45.3% 64.6%

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