W moderates X→Y (Model 1)
Tests if the X→Y relationship depends on moderator W (X×W interaction). Includes simple slopes plot and conditional effects.
W & Z moderate X→Y (Model 2)
Tests if two moderators (W and Z) moderate the X→Y relationship (X×W + X×Z interactions).
W & Z jointly moderate X→Y (Model 3)
Tests if the X→Y relationship is moderated by a three-way interaction X × W × Z → Y. Includes all two-way interactions.
M mediates X→Y (Model 4)
Tests if X → M → Y transmits effect through a single mediator. Includes Sobel test and bootstrap CIs.
M₁, M₂,... mediate X→Y in parallel (Model 4)
Tests if multiple independent mediators X → {M₁...Mₖ} → Y simultaneously transmit the effect of X on Y. Supports up to 10 mediators.
W moderates X→Y (Model 5)
Tests if moderator W affects only the direct X→Y path (c'-path) in a mediation model. Uses one mediator.
M₁→M₂→... mediate X→Y in serial (Model 6)
Tests if X affects Y through a causal chain X → M₁ → M₂ → Y with three indirect paths. Supports up to 10 mediators.
W moderates X→M (Model 7)
Tests if the indirect effect depends on W moderating the X→M path (a-path) in a mediation model. Uses one mediator.
W moderates X→M & X→Y (Model 8)
Tests if the indirect effect depends on W moderating both the X→M path and the direct X→Y path. Uses one mediator.
W & Z moderate X→M (Model 9)
Tests if W and Z moderate the X→M path simultaneously with separate moderators. Uses one mediator.
W & Z moderate X→M & X→Y (Model 10)
Tests if W and Z moderate both the X→M path and the direct X→Y path. Uses one mediator.
W & Z jointly moderate X→M (Model 11)
Tests if W and Z jointly moderate the X→M path with a three-way interaction; Y is predicted by X and M. Uses one mediator.
W & Z jointly moderate X→M & X→Y (Model 12)
Tests if W and Z jointly moderate both the X→M path and the direct X→Y path with three-way interactions. Uses one mediator.
W & Z jointly moderate X→M; W moderates X→Y (Model 13)
Tests if W and Z jointly moderate X→M while W moderates X→Y. Uses one mediator.
W moderates M→Y (Model 14)
Tests if the indirect effect depends on W moderating the M→Y path (b-path) in a mediation model. Uses one mediator.
W moderates M→Y & X→Y (Model 15)
Tests if W moderates both the M→Y path and the direct X→Y path. Uses one mediator.
W & Z moderate M→Y (Model 16)
Tests if W and Z moderate the M→Y path; the direct X→Y path is unmoderated. Uses one mediator.
W & Z moderate M→Y & X→Y (Model 17)
Tests if W and Z moderate both the M→Y path and the direct X→Y path. Uses one mediator.
W & Z jointly moderate M→Y (Model 18)
Tests if W and Z jointly moderate the M→Y path with a three-way interaction; X→Y is unmoderated. Uses one mediator.
W & Z jointly moderate M→Y & X→Y (Model 19)
Tests if W and Z jointly moderate both the M→Y path and the direct X→Y path with three-way interactions. Uses one mediator.
W & Z jointly moderate M→Y; W moderates X→Y (Model 20)
Tests if W and Z jointly moderate M→Y while W moderates X→Y. Uses one mediator.
W moderates X→M; Z moderates M→Y (Model 21)
Tests if W moderates the X→M path while Z moderates the M→Y path. Uses one mediator.
W moderates X→M & X→Y; Z moderates M→Y (Model 22)
Tests if W moderates X→M and X→Y while Z moderates M→Y. Uses one mediator.
W moderates X→M; Z moderates M→Y & X→Y (Model 28)
Tests if W moderates X→M while Z moderates both M→Y and X→Y. Uses one mediator.
W moderates X→M & X→Y; Z moderates X→M & X→Y (Model 29)
Tests if both W and Z moderate the X→M and X→Y paths. Uses one mediator.
W moderates X→M & M→Y (Model 58)
Tests if the indirect effect depends on W moderating both the X→M and M→Y paths. Uses one mediator.
W moderates X→M, M→Y & X→Y (Model 59)
Tests if W moderates all three paths (X→M, M→Y, and X→Y) in a full moderated mediation model. Uses one mediator.
W moderates X→M & M→Y; Z moderates X→M (Model 60)
Tests if W moderates X→M and M→Y while Z moderates X→M. Uses one mediator.
W moderates X→M, M→Y & X→Y; Z moderates X→M (Model 61)
Tests if W moderates X→M, M→Y, and X→Y while Z moderates X→M. Uses one mediator.
W moderates X→M & M→Y; Z moderates X→M & X→Y (Model 62)
Tests if W moderates X→M and M→Y while Z moderates X→M and X→Y. Uses one mediator.
W moderates X→M, M→Y & X→Y; Z moderates X→M & X→Y (Model 63)
Tests if W moderates X→M, M→Y, and X→Y while Z moderates X→M and X→Y. Uses one mediator.
W moderates X→M & M→Y; Z moderates M→Y (Model 64)
Tests if W moderates X→M and M→Y while Z moderates M→Y. Uses one mediator.
W moderates X→M, M→Y & X→Y; Z moderates M→Y (Model 65)
Tests if W moderates X→M, M→Y, and X→Y while Z moderates M→Y. Uses one mediator.
W moderates X→M & M→Y; Z moderates M→Y & X→Y (Model 66)
Tests if W moderates X→M and M→Y while Z moderates M→Y and X→Y. Uses one mediator.
W moderates X→M, M→Y & X→Y; Z moderates M→Y & X→Y (Model 67)
Tests if W moderates X→M, M→Y, and X→Y while Z moderates M→Y and X→Y. Uses one mediator.
W & Z jointly moderate X→M; W moderates M→Y (Model 68)
Tests if W and Z jointly moderate X→M while W moderates M→Y. Uses one mediator.
W & Z jointly moderate X→M & X→Y; W moderates M→Y (Model 69)
Tests if W and Z jointly moderate X→M and X→Y while W moderates M→Y. Uses one mediator.
W moderates X→M; W & Z jointly moderate M→Y (Model 70)
Tests if W moderates X→M while W and Z jointly moderate M→Y. Uses one mediator.
W moderates X→M; W & Z jointly moderate M→Y & X→Y (Model 71)
Tests if W moderates X→M while W and Z jointly moderate M→Y and X→Y. Uses one mediator.
W & Z jointly moderate X→M & M→Y (Model 72)
Tests if W and Z jointly moderate both the X→M and M→Y paths. Uses one mediator.
W & Z jointly moderate X→M, M→Y & X→Y (Model 73)
Tests if W and Z jointly moderate all three paths: X→M, M→Y, and X→Y. Uses one mediator.
W & Z moderate X→M & M→Y (Model 75)
Tests if W and Z moderate both the X→M path and the M→Y path. Uses one mediator.
W & Z moderate X→M, M→Y & X→Y (Model 76)
Tests if W and Z moderate all three paths: X→M, M→Y, and X→Y. Uses one mediator.
M₁, M₂, M₃,... mediate X→Y in parallel & serial (Model 80)
Tests if multiple mediators transmit the effect of X on Y through both parallel and serial paths. Supports up to 6 mediators. Includes all indirect effects and bootstrap CIs.
M₁, M₂, M₃,... mediate X→Y in parallel & serial (Model 81)
Tests a combined parallel-serial mediation where M₁ is the first-stage mediator predicted by X, and every subsequent mediator is predicted by both X and M₁. Supports up to 6 mediators with all indirect effects and bootstrap CIs.
M₁, M₂, M₃, & M₄ mediate X→Y in parallel & serial (Model 82)
Tests a four-mediator serial-parallel model where M₁ and M₃ are parallel mediators predicted by X, M₂ is predicted by X and M₁, and M₄ is predicted by X and M₃. Requires exactly 4 mediators. Includes all six indirect effects and bootstrap CIs.
W moderates X→M₁ in serial mediation (Model 83)
Tests if W moderates the first stage of serial mediation (X→M₁→M₂→Y). Supports 2–3 mediators.
W moderates X→M₁ and X→M₂ in serial mediation (Model 84)
Tests if W moderates the first stage (X→M₁) and the second stage (M₁→M₂) of serial mediation. Supports 2–3 mediators.
W moderates X→M₁, X→M₂, and X→Y in serial mediation (Model 85)
Tests if W moderates the first stage, second stage, and direct path in a serial mediation model. Supports 2–3 mediators.
W moderates X→M₁ and X→Y in serial mediation (Model 86)
Tests if W moderates the first stage (X→M₁) and the direct X→Y path in serial mediation. Supports 2–3 mediators.
W moderates M₂→Y in serial mediation (Model 87)
Tests if W moderates the final mediator→outcome path (M₂→Y) in serial mediation. Supports 2–3 mediators.
W moderates M₁→Y and M₂→Y in serial mediation (Model 88)
Tests if W moderates all mediator→outcome paths (M₁→Y and M₂→Y) in serial mediation. Supports 2–3 mediators.
W moderates M₁→Y, M₂→Y, and X→Y in serial mediation (Model 89)
Tests if W moderates all mediator→outcome paths and the direct X→Y path in serial mediation. Supports 2–3 mediators.
W moderates M₂→Y and X→Y in serial mediation (Model 90)
Tests if W moderates the final mediator→outcome path (M₂→Y) and the direct X→Y path in serial mediation. Supports 2–3 mediators.
W moderates M₁→M₂ in serial mediation (Model 91)
Tests if W moderates the intermediary stage (M₁→M₂) in a serial mediation chain. Supports 2–3 mediators.
W moderates all paths in serial mediation (Model 92)
Tests if W moderates every path in the serial mediation chain: X→M₁, M₁→M₂, M₂→Y, and X→Y. Supports 2–3 mediators.