Table 6.
Tests of differences between intervention components
| Coefficient difference | F‐statistic | df | p Value | |
|---|---|---|---|---|
| Hypothesis | (1) | (2) | (3) | (4) |
| Peer‐assisted = CAI | 0.31 | 10.65 | 51.76 | 0.002 |
| Peer‐assisted = Coaching personnel | 0.42 | 8.84 | 43.26 | 0.005 |
| Peer‐assisted = Incentives | 0.31 | 8.49 | 33.26 | 0.006 |
| Peer‐assisted = Medium‐group | 0.21 | 4.40 | 34.30 | 0.043 |
| Peer‐assisted = Progress monitoring | 0.49 | 9.28 | 43.48 | 0.004 |
| Peer‐assisted = Small group | 0.06 | 0.91 | 45.58 | 0.345 |
| Small‐group = CAI | 0.26 | 13.51 | 35.75 | 0.001 |
| Small‐group = Coaching personnel | 0.37 | 9.08 | 48.32 | 0.004 |
| Small‐group = Incentives | 0.25 | 8.46 | 27.60 | 0.007 |
| Small‐group = Medium‐group | 0.15 | 3.58 | 25.21 | 0.070 |
| Small‐group = Progress monitoring | 0.43 | 10.45 | 38.39 | 0.003 |
| Fractions = Algebra/Pre‐algebra | 0.53 | 14.15 | 10.18 | 0.004 |
| Fractions = Geometry | 0.33 | 6.12 | 10.21 | 0.032 |
| Fractions = Number sense | 0.39 | 8.12 | 7.16 | 0.024 |
| Fractions = Operations | 0.47 | 10.09 | 6.29 | 0.018 |
| Fractions = Problem solving | 0.29 | 6.21 | 8.95 | 0.035 |
Column 1 reports the difference between the coefficients of the two components mentioned in the Hypothesis‐column. To calculate the F‐statistic, the degrees of freedom, and the (two‐sided) p value in columns 2–4, we used the test described in Tipton and Pustejovsky (2015), and implemented it using our own extension to the Wald_test function in R package clubSandwich (Pustejovsky, 2020) and the “HTZ” small‐sample correction procedure. The coefficients and variance estimates are from the model reported in Table 5, column 2.
Abbreviation: CAI, computer‐assisted instruction.