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. 2022 Feb 17;13:829032. doi: 10.3389/fpsyg.2022.829032

TABLE 4.

Effects of OTL on student mathematics performance.

Shanghai-China United States


Null model Model 1 Model 2 Null model Model 1 Model 2
Fixed effects
Intercept 612.66(1.03)*** 619.89(19.13)*** 224.75(39.55)*** 486.70(1.42)*** 448.94(10.63)*** 97.32(25.38)***
Grade 27.87(4.63)*** 8.39(3.71)* 25.24(3.76)*** 8.39(3.01)**
Sex 5.36(3.67) –13.91(3.39)*** 2.68(3.88) –0.36(3.20)
ESCS 9.06(2.82) ** 1.40(2.30) 11.44(2.48)*** 4.31(1.46)**
OTL 40.59(6.42)*** 26.27(4.92)*** 48.33(3.56)*** 24.89(2.63)***
Mathematics anxiety –36.54(2.92)*** –22.75(3.24)*** –30.12(2.66)*** –7.60(1.97) ***
Problem-solving performance 0.73(0.07) *** 0.70(0.05) ***
Random effects
Student level σ2 5,280.86(240.42)*** 4,189.47(181.46)*** 2,182.78(399.88)*** 6,078.58(274.07)*** 3,880.62(180.05)*** 1,528.88(316.72)***
School level τ00 4,613.59(286.42)*** 2,696.85(268.33)*** 1,080.05(123.51)*** 1,740.33(167.78)*** 980.80(118.60)*** 626.85(64.19)***

Standard errors are reported in parentheses.

***p < 0.001.

**p < 0.01.

*p < 0.05.