Skip to main content
. Author manuscript; available in PMC: 2021 Mar 1.
Published in final edited form as: J Sci Study Relig. 2020 Jan 23;59(1):39–61. doi: 10.1111/jssr.12638

Table 4.

Posterior Response Probabilities (rhos) for LCA Class Solutions at Wave 1

Affiliation (%)a Attendance
M(SD)b
Importance
M(SD)a
Prayer
M(SD)c
% of Sampled
NR EP MP BP RC OT
Jefferson High School (N=502)
Total 17.91 16.70 32.19 0.00 29.58 3.62 3.20(1.44) 3.46(1.35) 3.94(1.85)
3-Class LCA, Replicate Variablese
 I 1.00(0.00) 1.00(0.00) 1.00(0.00) 15.32
 II 4.55(0.73) 4.52(0.50) 5.46(0.64) 29.72
 III 2.92(0.76) 3.54(0.70) 3.81(1.36) 54.95
3-Class LCA, Canonical Variablesf
 I 100.0 0.00 0.00 0.00 0.00 0.00 1.00(0.00) 1.00(0.00) 15.32
 II 0.00 32.26 32.90 0.00 31.61 3.23 4.83(0.37) 4.54(0.50) 24.97
 III 0.00 13.04 43.08 0.00 38.74 5.14 2.98(0.76) 3.66(0.74) 59.71
4-Class LCA, Replicate Variablese
 I 1.00(0.00) 1.00(0.00) 1.00(0.00) 15.32
 II 4.66(0.77) 4.65(0.48) 5.58(0.53) 23.91
 III 2.70(0.73) 2.80(0.72) 2.38(0.70) 9.91
 IV 3.27(0.85) 3.89(0.38) 4.54(1.06) 50.86

Sunshine High School (N=891)
Total 5.10 9.17 16.76 16.08 47.11 5.78 4.02(1.19) 4.32(0.98) 5.05(1.42)
3-Class LCA, Replicate Variablesa
 I 1.00(0.00) 1.00(0.00) 1.00(0.00) 3.59
 II 4.51(0.78) 4.69(0.47) 5.67(0.65) 79.14
 III 3.07(0.81) 3.82(0.63) 3.92(1.21) 17.27
3-Class LCA, Canonical Variablesc
 I 100.0 0.00 0.00 0.00 0.00 0.00 1.00(0.00) 1.00(0.00) 3.59
 II 0.00 10.57 17.79 18.62 46.48 6.54 4.57(0.78) 4.78(0.41) 74.36
 III 0.00 7.44 17.36 12.81 57.44 4.95 3.23(0.79) 3.79(0.49) 22.06
4-Class LCA, Replicate Variablese
 I 1.00(0.00) 1.00(0.00) 1.00(0.00) 3.59
 II 4.61(0.74) 4.78(0.42) 5.66(0.65) 72.38
 III 3.58(0.61) 4.01(0.29) 4.78(1.11) 17.69
 IV 2.41(0.66) 3.55(0.86) 3.52(1.52) 6.34
a

NR = no religious affiliation. EP = Evangelical Protestant. MP = Mainline Protestant. BP = Black Protestant. RC = Roman Catholic. OT = Other.

b

Range = 1–5

c

Range = 1–6

d

Sample percentages based on predicted class membership by modal posterior probability.

e

“Replicate Variables” indicates the solutions using variables consistent with the conceptual model employed by Pearce and colleagues—i.e., limited to behavioral and attitudinal variables. Here that includes religious importance, religious attendance and prayer frequency.

f

“Canonical Variables” replaces prayer frequency in the “replicate” set with religious affiliation to match the limited set of variables most often available in surveys not primarily concerned with religion