Jude Ryan
2005-May-24 20:53 UTC
[R] output of mars() in package mda; how do I read the pairwise interaction terms from the output?
Hi, I have run mars() with the default degree=1, and have constructed splines which are similar to what I would get from Salford System's MARS. I then use these splines as potential predictors, along with rpart( ) terminal nodes and other potential predictors, in logistic regression in SAS. The output of mars() and the splines I created are shown below (pardon the lengthy output): > names(pchresp) [1] "ord_flag" "OI_lodlrsize_cnt" "DI_diff_wo_arch" "DI_Days_s_2l_wo" [5] "DI_wo_rec_count" "DH_diff_wo_arch" "DH_Days_s_l_wo" "DH_tot_loss_amt" [9] "DH_wo_rec_count" "DH_Avg_loss_amt" "DA_diff_wo_arch" "DA_max_loss" [13] "DA_Days_s_l_wo" "DA_Days_s_2l_wo" "DA_wo_rec_count" "CZ_cen65" [17] "CZ_cen78" "CZ_cen86" "CZ_cen98" "CZ_cen99" [21] "CZ_cen132" "CZ_cen232" "CZ_cen236" "CZ_cen247" [25] "CZ_cen272" "CZ_cen274" "CZ_cen287" "CZ_cen335" [29] "CZ_cen337" "CZ_cen370" "CZ_cen371" "CZ_cen373" [33] "CZ_cen377" "CZ_cen419" "CZ_cen509" "CZ_cen569" [37] "CZ_cen638" "CZ_cen695" "CZ_cen696" "CZ_cen698" [41] "CZ_cen700" "CZ_cen701" "CZ_cen702" "DZ9_rec" [45] "log25" "DZ5_rec" "DZ5_str" "DZ1_pob" [49] "alor" "ihcfbalratio" "cgsbalratio" "cgsbalpaid" [53] "oxlogit_new" "nslogit_new" "sclogit_new" "hit" [57] "II_Find_Income2" "II_SESI2" > > y <- pchresp[, c(1)] > x <- pchresp[, -c(1)] > > m1 <- mars(x, y) > > showcuts <- function(obj) + { + tmp <- obj$cuts[obj$sel, ] + dimnames(tmp) <- list(NULL, dimnames(x)[[2]]) + tmp + } > > showcuts(m1) OI_lodlrsize_cnt DI_diff_wo_arch DI_Days_s_2l_wo DI_wo_rec_count [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 1 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 0 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 0 0 0 0 [22,] 0 0 0 0 DH_diff_wo_arch DH_Days_s_l_wo DH_tot_loss_amt DH_wo_rec_count [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 0 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 0 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 1917 0 0 0 [22,] 0 1735 0 0 DH_Avg_loss_amt DA_diff_wo_arch DA_max_loss DA_Days_s_l_wo [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 0 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 0 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 0 0 0 0 [22,] 0 0 0 0 DA_Days_s_2l_wo DA_wo_rec_count CZ_cen65 CZ_cen78 CZ_cen86 CZ_cen98 [1,] 0 0 0 0 0 0 [2,] 0 0 0 0 0 0 [3,] 0 0 0 0 0 0 [4,] 0 0 0 0 0 0 [5,] 0 0 0 0 0 0 [6,] 0 0 0 0 0 0 [7,] 0 0 0 0 0 0 [8,] 0 0 0 0 0 0 [9,] 0 0 0 0 0 0 [10,] 0 0 0 0 0 0 [11,] 0 0 0 0 0 0 [12,] 0 0 0 0 0 0 [13,] 0 0 0 0 0 0 [14,] 0 0 0 0 0 0 [15,] 0 0 0 0 0 0 [16,] 0 0 0 0 0 0 [17,] 0 0 0 0 0 0 [18,] 0 0 0 0 0 0 [19,] 0 0 0 0 0 0 [20,] 0 0 0 0 0 0 [21,] 0 0 0 0 0 0 [22,] 0 0 0 0 0 0 CZ_cen99 CZ_cen132 CZ_cen232 CZ_cen236 CZ_cen247 CZ_cen272 CZ_cen274 [1,] 0 0 0 0 0.0000000 0 0 [2,] 0 0 0 0 0.0000000 0 0 [3,] 0 0 0 0 0.0000000 0 0 [4,] 0 0 0 0 0.0000000 0 0 [5,] 0 0 0 0 0.0000000 0 0 [6,] 0 0 0 0 0.0000000 0 0 [7,] 0 0 0 0 0.0000000 0 0 [8,] 0 0 0 0 0.0000000 0 0 [9,] 0 0 0 0 0.0000000 0 0 [10,] 0 0 0 0 0.0000000 0 0 [11,] 0 0 0 0 0.0000000 0 0 [12,] 0 0 0 0 0.0000000 0 0 [13,] 0 0 0 0 0.0000000 0 0 [14,] 0 0 0 0 0.9069767 0 0 [15,] 0 0 0 0 0.9069767 0 0 [16,] 0 0 0 0 0.0000000 0 0 [17,] 0 0 0 0 0.0000000 0 0 [18,] 0 0 0 0 0.0000000 0 0 [19,] 0 0 0 0 0.0000000 0 0 [20,] 0 0 0 0 0.0000000 0 0 [21,] 0 0 0 0 0.0000000 0 0 [22,] 0 0 0 0 0.0000000 0 0 CZ_cen287 CZ_cen335 CZ_cen337 CZ_cen370 CZ_cen371 CZ_cen373 CZ_cen377 [1,] 0 0 0 0 0 0 0 [2,] 0 0 0 0 0 0 0 [3,] 0 0 0 0 0 0 0 [4,] 0 0 0 0 0 0 0 [5,] 0 0 0 0 0 0 0 [6,] 0 0 0 0 0 0 0 [7,] 0 0 0 0 0 0 0 [8,] 0 0 0 0 0 0 0 [9,] 0 0 0 0 0 0 0 [10,] 0 0 0 0 0 0 0 [11,] 0 0 0 0 0 0 0 [12,] 0 0 0 0 0 0 0 [13,] 32857 0 0 0 0 0 0 [14,] 0 0 0 0 0 0 0 [15,] 0 0 0 0 0 0 0 [16,] 0 0 0 0 0 0 0 [17,] 0 0 0 0 0 0 0 [18,] 0 0 0 0 0 0 0 [19,] 0 0 0 0 0 0 0 [20,] 0 0 0 0 0 0 0 [21,] 0 0 0 0 0 0 0 [22,] 0 0 0 0 0 0 0 CZ_cen419 CZ_cen509 CZ_cen569 CZ_cen638 CZ_cen695 CZ_cen696 CZ_cen698 [1,] 0 0 0.00000 0 0 0 0 [2,] 0 0 0.00000 0 0 0 0 [3,] 0 0 0.00000 0 0 0 0 [4,] 0 0 0.00000 0 0 0 0 [5,] 0 0 0.00000 0 0 0 0 [6,] 0 0 0.00000 0 0 0 0 [7,] 0 0 0.00000 0 0 0 0 [8,] 0 0 0.00000 0 0 0 0 [9,] 0 0 0.00000 0 0 0 0 [10,] 0 0 0.00000 0 0 0 0 [11,] 0 0 0.00000 0 0 0 0 [12,] 0 0 0.00000 0 0 0 0 [13,] 0 0 0.00000 0 0 0 0 [14,] 0 0 0.00000 0 0 0 0 [15,] 0 0 0.00000 0 0 0 0 [16,] 0 0 11.07613 0 0 0 0 [17,] 0 0 0.00000 0 0 0 0 [18,] 0 0 0.00000 0 0 0 30 [19,] 0 0 0.00000 0 0 0 30 [20,] 0 0 0.00000 0 0 0 0 [21,] 0 0 0.00000 0 0 0 0 [22,] 0 0 0.00000 0 0 0 0 CZ_cen700 CZ_cen701 CZ_cen702 DZ9_rec log25 DZ5_rec DZ5_str DZ1_pob alor [1,] 0 0 0 0 0 0 0 0 0 [2,] 0 0 0 0 0 0 0 0 0 [3,] 0 0 0 0 0 0 0 0 0 [4,] 0 0 0 0 0 0 0 0 0 [5,] 0 0 0 0 0 0 0 0 0 [6,] 0 0 0 0 0 0 0 0 0 [7,] 0 0 0 0 0 0 0 0 32 [8,] 0 0 0 0 0 0 0 0 0 [9,] 0 0 0 0 0 0 0 0 0 [10,] 0 0 0 0 0 0 0 0 0 [11,] 0 0 38 0 0 0 0 0 0 [12,] 0 0 38 0 0 0 0 0 0 [13,] 0 0 0 0 0 0 0 0 0 [14,] 0 0 0 0 0 0 0 0 0 [15,] 0 0 0 0 0 0 0 0 0 [16,] 0 0 0 0 0 0 0 0 0 [17,] 0 0 0 0 0 0 0 0 0 [18,] 0 0 0 0 0 0 0 0 0 [19,] 0 0 0 0 0 0 0 0 0 [20,] 0 0 0 0 0 0 0 0 0 [21,] 0 0 0 0 0 0 0 0 0 [22,] 0 0 0 0 0 0 0 0 0 ihcfbalratio cgsbalratio cgsbalpaid oxlogit_new nslogit_new sclogit_new [1,] 0 0.00000 0 0 0.00000 0 [2,] 0 0.00000 0 0 1.28535 0 [3,] 0 0.00000 0 0 1.28535 0 [4,] 0 0.00000 0 0 0.00000 0 [5,] 0 0.00000 0 0 0.00000 0 [6,] 0 16.03509 0 0 0.00000 0 [7,] 0 0.00000 0 0 0.00000 0 [8,] 0 0.00000 0 0 0.00000 0 [9,] 0 0.00000 0 0 0.00000 0 [10,] 0 0.00000 0 0 0.00000 0 [11,] 0 0.00000 0 0 0.00000 0 [12,] 0 0.00000 0 0 0.00000 0 [13,] 0 0.00000 0 0 0.00000 0 [14,] 0 0.00000 0 0 0.00000 0 [15,] 0 0.00000 0 0 0.00000 0 [16,] 0 0.00000 0 0 0.00000 0 [17,] 0 0.00000 0 0 0.00000 0 [18,] 0 0.00000 0 0 0.00000 0 [19,] 0 0.00000 0 0 0.00000 0 [20,] 0 0.00000 0 0 0.00000 0 [21,] 0 0.00000 0 0 0.00000 0 [22,] 0 0.00000 0 0 0.00000 0 hit II_Find_Income2 II_SESI2 [1,] 0 0 0 [2,] 0 0 0 [3,] 0 0 0 [4,] 0 0 0 [5,] 0 0 0 [6,] 0 0 0 [7,] 0 0 0 [8,] 0 0 0 [9,] 0 26000 0 [10,] 0 26000 0 [11,] 0 0 0 [12,] 0 0 0 [13,] 0 0 0 [14,] 0 0 0 [15,] 0 0 0 [16,] 0 0 0 [17,] 0 71000 0 [18,] 0 0 0 [19,] 0 0 0 [20,] 0 0 27 [21,] 0 0 0 [22,] 0 0 0 > The mars splines I created are: DH_diff_wo_arch_sp1 = max(0, DH_diff_wo_arch - 1917); DH_Days_s_l_wo_sp1 = max(0, DH_Days_s_l_wo - 1735); CZ_cen247_sp1 = max(0, CZ_cen247 - 0.9069767); CZ_cen287_sp1 = max(0, CZ_cen287 - 32857); CZ_cen569_sp1 = max(0, CZ_cen569 - 11.07613); CZ_cen698_sp1 = max(0, CZ_cen698 - 30); CZ_cen702_sp1 = max(0, CZ_cen702 - 38); alor_sp1 = max(0, alor - 32); cgsbalratio_sp1 = max(0, cgsbalratio - 16.03509); nslogit_new_sp1 = max(0, nslogit_new - 1.28535); II_Find_Income2_sp1 = max(0, II_Find_Income2 - 26000); II_Find_Income2_sp2 = max(0, II_Find_Income2 - 71000); II_SESI2_sp1 = max(0, II_SESI2 - 27); My next run of mars( ) uses degree=2. > m2 <- mars(x, y, degree=2) > > showcuts(m2) OI_lodlrsize_cnt DI_diff_wo_arch DI_Days_s_2l_wo DI_wo_rec_count [1,] 0 0 0 0 [2,] 0 0 0 1 [3,] 0 0 0 1 [4,] 0 0 0 1 [5,] 0 0 0 0 [6,] 0 0 0 1 [7,] 0 0 0 1 [8,] 0 0 0 1 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 0 0 0 0 [22,] 0 0 0 0 [23,] 0 0 0 1 [24,] 0 0 0 0 [25,] 0 0 0 0 [26,] 0 0 0 0 [27,] 0 0 0 0 [28,] 0 0 0 0 [29,] 0 0 0 0 [30,] 0 0 0 0 [31,] 0 0 0 0 [32,] 0 0 0 0 [33,] 0 0 0 0 [34,] 0 0 0 0 DH_diff_wo_arch DH_Days_s_l_wo DH_tot_loss_amt DH_wo_rec_count [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 0 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 0 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 0 0 0 0 [22,] 1917 0 0 0 [23,] 0 0 0 0 [24,] 0 0 0 0 [25,] 0 0 0 0 [26,] 0 0 0 0 [27,] 0 0 0 0 [28,] 1917 0 0 0 [29,] 0 0 0 0 [30,] 0 0 0 0 [31,] 0 0 0 0 [32,] 0 0 0 0 [33,] 0 0 0 0 [34,] 0 0 0 0 DH_Avg_loss_amt DA_diff_wo_arch DA_max_loss DA_Days_s_l_wo [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 0 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 0 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 0 [21,] 0 0 0 1856 [22,] 0 0 0 0 [23,] 0 943 0 0 [24,] 0 0 0 0 [25,] 0 0 0 0 [26,] 0 0 0 0 [27,] 0 0 0 0 [28,] 0 0 0 0 [29,] 0 0 0 0 [30,] 0 0 0 0 [31,] 0 0 0 0 [32,] 0 0 0 0 [33,] 0 0 0 0 [34,] 0 0 0 0 DA_Days_s_2l_wo DA_wo_rec_count CZ_cen65 CZ_cen78 CZ_cen86 CZ_cen98 [1,] 0 0 0 0.0000000 0 0 [2,] 0 0 0 0.0000000 0 0 [3,] 0 0 0 0.0000000 0 0 [4,] 0 0 0 0.0000000 0 0 [5,] 0 0 0 0.0000000 0 0 [6,] 0 0 0 0.0000000 0 0 [7,] 0 0 0 0.0000000 0 0 [8,] 0 0 0 0.0000000 0 0 [9,] 0 0 0 0.0000000 0 0 [10,] 0 0 0 0.0000000 0 0 [11,] 0 0 0 0.0000000 0 0 [12,] 0 0 0 0.0000000 0 0 [13,] 0 0 0 0.0000000 0 0 [14,] 0 0 0 0.0000000 0 0 [15,] 0 0 0 0.0000000 0 0 [16,] 0 0 0 0.0000000 0 0 [17,] 0 0 0 0.0000000 0 0 [18,] 0 0 0 0.0000000 0 0 [19,] 0 0 0 0.4242424 0 0 [20,] 0 0 0 0.0000000 0 0 [21,] 0 0 0 0.0000000 0 0 [22,] 0 0 0 0.0000000 0 0 [23,] 0 0 0 0.0000000 0 0 [24,] 0 0 0 0.0000000 0 0 [25,] 0 0 0 0.0000000 0 0 [26,] 0 0 0 0.0000000 0 0 [27,] 0 0 0 0.0000000 0 0 [28,] 0 0 0 0.0000000 0 0 [29,] 0 0 0 0.0000000 0 0 [30,] 0 0 0 0.0000000 0 0 [31,] 0 0 0 0.0000000 0 0 [32,] 0 0 0 0.0000000 0 0 [33,] 0 0 0 0.0000000 0 0 [34,] 0 0 0 0.0000000 0 0 CZ_cen99 CZ_cen132 CZ_cen232 CZ_cen236 CZ_cen247 CZ_cen272 CZ_cen274 [1,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [2,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [3,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [4,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [5,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [6,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [7,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [8,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [9,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [10,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [11,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [12,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [13,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [14,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [15,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [16,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [17,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [18,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [19,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [20,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [21,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [22,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [23,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [24,] 0 0.4729299 0 0.0000000 0.0000000 0 0 [25,] 0 0.4729299 0 0.0000000 0.0000000 0 0 [26,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [27,] 0 0.0000000 0 0.4290323 0.0000000 0 0 [28,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [29,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [30,] 0 0.0000000 0 0.0000000 0.9074286 0 0 [31,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [32,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [33,] 0 0.0000000 0 0.0000000 0.0000000 0 0 [34,] 0 0.0000000 0 0.0000000 0.0000000 0 0 CZ_cen287 CZ_cen335 CZ_cen337 CZ_cen370 CZ_cen371 CZ_cen373 CZ_cen377 [1,] 0 0 0 0 0 0.0000000 0 [2,] 0 0 0 0 0 0.0000000 0 [3,] 0 0 0 0 0 0.0000000 0 [4,] 0 0 0 0 0 0.0000000 0 [5,] 0 0 0 0 0 0.0000000 0 [6,] 0 0 0 0 0 0.0000000 0 [7,] 0 0 0 0 0 0.0000000 0 [8,] 0 0 0 0 0 0.0000000 0 [9,] 0 0 0 0 0 0.0000000 0 [10,] 36324 0 0 0 0 0.0000000 0 [11,] 36324 0 0 0 0 0.0000000 0 [12,] 36324 0 0 0 0 0.0000000 0 [13,] 36324 0 0 0 0 0.0000000 0 [14,] 0 0 0 0 0 0.0000000 0 [15,] 0 0 0 0 0 0.0000000 0 [16,] 0 0 0 0 0 0.0000000 0 [17,] 0 0 0 0 0 0.0000000 0 [18,] 0 0 0 0 0 0.0000000 0 [19,] 0 0 0 0 0 0.0000000 0 [20,] 0 0 0 0 0 0.0000000 0 [21,] 0 0 0 0 0 0.0000000 0 [22,] 0 0 0 0 0 0.0000000 0 [23,] 0 0 0 0 0 0.0000000 0 [24,] 0 0 0 0 0 0.0000000 0 [25,] 0 0 0 0 0 0.0000000 0 [26,] 0 0 0 0 0 0.0000000 0 [27,] 0 0 0 0 0 0.0000000 0 [28,] 0 0 0 0 0 0.0000000 0 [29,] 0 0 0 0 0 0.0000000 0 [30,] 14306 0 0 0 0 0.0000000 0 [31,] 0 0 0 0 0 0.0000000 0 [32,] 0 0 0 0 0 0.0000000 0 [33,] 0 0 0 0 0 0.0000000 0 [34,] 0 0 0 0 0 0.2213115 0 CZ_cen419 CZ_cen509 CZ_cen569 CZ_cen638 CZ_cen695 CZ_cen696 CZ_cen698 [1,] 0 0 0.00000 0 0 0 0 [2,] 0 0 0.00000 0 0 0 0 [3,] 0 0 0.00000 0 0 0 0 [4,] 0 0 0.00000 0 0 0 0 [5,] 0 0 0.00000 0 0 0 0 [6,] 0 0 0.00000 0 0 0 0 [7,] 0 0 0.00000 0 0 0 0 [8,] 0 0 0.00000 0 0 0 0 [9,] 0 0 0.00000 0 0 0 0 [10,] 0 0 0.00000 0 0 0 0 [11,] 0 0 0.00000 0 0 0 0 [12,] 0 0 0.00000 0 0 0 31 [13,] 0 0 0.00000 0 0 0 31 [14,] 0 0 0.00000 0 0 0 0 [15,] 0 0 12.92770 0 0 0 0 [16,] 0 0 0.00000 0 0 0 0 [17,] 0 0 0.00000 0 0 0 0 [18,] 0 0 0.00000 0 0 0 0 [19,] 0 0 0.00000 0 0 0 0 [20,] 0 0 0.00000 0 0 0 0 [21,] 0 0 0.00000 0 0 0 0 [22,] 0 0 0.00000 0 0 0 0 [23,] 0 0 0.00000 0 0 0 0 [24,] 0 0 0.00000 0 0 0 0 [25,] 0 0 0.00000 0 0 0 0 [26,] 0 0 0.00000 0 0 0 0 [27,] 0 0 0.00000 0 0 0 0 [28,] 0 0 0.00000 0 0 0 0 [29,] 0 0 0.00000 0 0 0 0 [30,] 0 0 0.00000 0 0 0 0 [31,] 0 0 0.00000 0 0 0 0 [32,] 0 0 0.00000 0 0 0 0 [33,] 0 0 0.00000 0 0 0 0 [34,] 0 0 0.00000 0 0 0 0 CZ_cen700 CZ_cen701 CZ_cen702 DZ9_rec log25 DZ5_rec DZ5_str DZ1_pob [1,] 0 0 0 0 0.00000 0 0 0 [2,] 0 0 0 0 0.00000 0 0 0 [3,] 0 0 0 0 0.00000 0 0 0 [4,] 0 0 0 0 0.00000 0 0 0 [5,] 0 0 0 0 0.00000 0 0 0 [6,] 0 0 0 0 0.00000 0 0 0 [7,] 0 0 0 0 0.00000 0 0 0 [8,] 0 0 0 0 0.00000 0 0 0 [9,] 0 0 0 0 2.17021 0 0 0 [10,] 0 0 0 0 0.00000 0 0 0 [11,] 0 0 0 0 0.00000 0 0 0 [12,] 0 0 0 0 0.00000 0 0 0 [13,] 0 0 0 0 0.00000 0 0 0 [14,] 0 0 0 0 0.00000 0 0 0 [15,] 0 0 0 0 0.00000 0 0 0 [16,] 93 0 0 0 0.00000 0 0 0 [17,] 93 0 0 0 0.00000 0 0 0 [18,] 0 0 0 0 0.00000 0 0 0 [19,] 0 0 0 0 0.00000 0 0 0 [20,] 0 0 0 0 0.00000 0 0 0 [21,] 0 0 0 0 0.00000 0 0 0 [22,] 0 0 0 0 0.00000 0 0 0 [23,] 0 0 0 0 0.00000 0 0 0 [24,] 0 0 0 0 0.00000 0 0 0 [25,] 0 0 0 0 0.00000 0 0 0 [26,] 0 0 0 0 0.00000 0 0 0 [27,] 0 0 0 0 0.00000 0 0 0 [28,] 0 0 38 0 0.00000 0 0 0 [29,] 0 0 0 0 0.00000 8405 0 0 [30,] 0 0 0 0 0.00000 0 0 0 [31,] 0 0 0 0 2.45773 0 0 0 [32,] 0 0 0 0 0.00000 0 0 0 [33,] 0 0 0 0 0.00000 0 0 0 [34,] 0 0 0 0 0.00000 0 0 0 alor ihcfbalratio cgsbalratio cgsbalpaid oxlogit_new nslogit_new [1,] 0 0 0.00000 0 0 0.00000 [2,] 0 0 0.00000 0 0 0.00000 [3,] 0 0 0.00000 0 0 0.00000 [4,] 0 0 0.00000 0 0 0.00000 [5,] 0 0 16.03509 0 0 0.00000 [6,] 32 0 0.00000 0 0 0.00000 [7,] 0 0 0.00000 0 0 0.00000 [8,] 0 0 0.00000 0 0 0.00000 [9,] 0 0 16.03509 0 0 0.00000 [10,] 0 0 0.00000 0 0 0.00000 [11,] 0 0 0.00000 0 0 0.00000 [12,] 0 0 0.00000 0 0 0.00000 [13,] 0 0 0.00000 0 0 0.00000 [14,] 0 0 0.00000 0 0 0.00000 [15,] 0 0 0.00000 0 0 0.00000 [16,] 0 0 0.00000 0 0 0.00000 [17,] 0 0 0.00000 0 0 0.00000 [18,] 18 0 0.00000 0 0 0.00000 [19,] 0 0 16.03509 0 0 0.00000 [20,] 0 0 0.00000 0 0 1.28535 [21,] 0 0 0.00000 0 0 1.28535 [22,] 0 0 0.00000 0 0 0.00000 [23,] 0 0 0.00000 0 0 0.00000 [24,] 0 0 0.00000 0 0 1.28535 [25,] 0 0 0.00000 0 0 1.28535 [26,] 0 0 0.00000 0 0 0.00000 [27,] 0 0 0.00000 0 0 1.28535 [28,] 0 0 0.00000 0 0 0.00000 [29,] 0 0 0.00000 0 0 0.00000 [30,] 0 0 0.00000 0 0 0.00000 [31,] 0 0 0.00000 0 0 1.28535 [32,] 0 0 16.03509 0 0 3.01888 [33,] 0 0 0.00000 0 0 1.28535 [34,] 0 0 16.03509 0 0 0.00000 sclogit_new hit II_Find_Income2 II_SESI2 [1,] 0 0 0 0 [2,] 0 0 0 0 [3,] 0 0 0 0 [4,] 0 0 0 0 [5,] 0 0 0 0 [6,] 0 0 0 0 [7,] 0 0 0 16 [8,] 0 0 0 0 [9,] 0 0 0 0 [10,] 0 0 0 0 [11,] 0 0 0 0 [12,] 0 0 0 0 [13,] 0 0 0 0 [14,] 0 0 0 0 [15,] 0 0 0 0 [16,] 0 0 0 0 [17,] 0 0 0 0 [18,] 0 0 0 0 [19,] 0 0 0 0 [20,] 0 0 0 27 [21,] 0 0 0 0 [22,] 0 0 0 0 [23,] 0 0 0 0 [24,] 0 0 0 0 [25,] 0 0 0 0 [26,] 0 0 122000 0 [27,] 0 0 0 0 [28,] 0 0 0 0 [29,] 0 0 0 0 [30,] 0 0 0 0 [31,] 0 0 0 0 [32,] 0 0 0 0 [33,] 0 0 225000 0 [34,] 0 0 0 0 > While I can construct splines in a similar manner to what I did for my first output, I am unable to figure out how to construct mars splines for the pairwise interactions I am supposed to be getting for degree=2. The mars documentation and Venables' and Ripley's Modern Applied Statistics with S (pages 235 to 237) do show similar output, but not how to construct splines or figure out the pairwise interactions. Any help is greatly appreciated. Thanks in advance. Jude Ryan