Stochastically compute random effects for MixedClass objects with Metropolis-Hastings
samplers and averaging over the draws to obtain expected a posteriori predictions.
Returns a list of the estimated effects.
Arguments
- x
an estimated model object from the
mixedmirtfunction- ndraws
total number of draws to perform. Default is 1000
- thin
amount of thinning to apply. Default is to use every 10th draw
- return.draws
logical; return a list containing the thinned draws of the posterior?
References
Chalmers, R., P. (2012). mirt: A Multidimensional Item Response Theory Package for the R Environment. Journal of Statistical Software, 48(6), 1-29.
Chalmers, R. P. (2015). Extended Mixed-Effects Item Response Models with the MH-RM Algorithm. Journal of Educational Measurement, 52, 200-222. doi:10.1111/jedm.12072 doi:10.18637/jss.v048.i06
Author
Phil Chalmers rphilip.chalmers@gmail.com
Examples
# \donttest{
# make an arbitrary groups
covdat <- data.frame(group = rep(paste0('group', 1:49), each=nrow(Science)/49))
# partial credit model
mod <- mixedmirt(Science, covdat, model=1, random = ~ 1|group)
#>
Stage 1 = 1, CDLL = -2033.5, AR(1.64) = [0.43], Max-Change = 0.2000
Stage 1 = 2, CDLL = -2049.6, AR(1.64) = [0.56], Max-Change = 0.2000
Stage 1 = 3, CDLL = -2028.4, AR(1.64) = [0.50], Max-Change = 0.2000
Stage 1 = 4, CDLL = -2026.6, AR(1.64) = [0.51], Max-Change = 0.1915
Stage 1 = 5, CDLL = -2043.7, AR(1.64) = [0.53], Max-Change = 0.1573
Stage 1 = 6, CDLL = -2022.4, AR(1.64) = [0.49], Max-Change = 0.1007
Stage 1 = 7, CDLL = -1980.3, AR(1.64) = [0.53], Max-Change = 0.0881
Stage 1 = 8, CDLL = -2001.3, AR(1.64) = [0.52], Max-Change = 0.0682
Stage 1 = 9, CDLL = -2001.9, AR(1.64) = [0.47], Max-Change = 0.0656
Stage 1 = 10, CDLL = -1992.8, AR(1.64) = [0.54], Max-Change = 0.0356
Stage 1 = 11, CDLL = -2012.9, AR(1.64) = [0.45], Max-Change = 0.0255
Stage 1 = 12, CDLL = -2024.6, AR(1.64) = [0.52], Max-Change = 0.0751
Stage 1 = 13, CDLL = -2007.2, AR(1.64) = [0.53], Max-Change = 0.0268
Stage 1 = 14, CDLL = -1995.1, AR(1.64) = [0.55], Max-Change = 0.0304
Stage 1 = 15, CDLL = -1997.2, AR(1.64) = [0.48], Max-Change = 0.0229
Stage 1 = 16, CDLL = -1993.9, AR(1.64) = [0.52], Max-Change = 0.0200
Stage 1 = 17, CDLL = -1998.8, AR(1.64) = [0.50], Max-Change = 0.0445
Stage 1 = 18, CDLL = -1993.3, AR(1.64) = [0.50], Max-Change = 0.0308
Stage 1 = 19, CDLL = -1993.4, AR(1.64) = [0.46], Max-Change = 0.0444
Stage 1 = 20, CDLL = -1962.8, AR(1.64) = [0.48], Max-Change = 0.0135
Stage 1 = 21, CDLL = -1984.4, AR(1.64) = [0.49], Max-Change = 0.0410
Stage 1 = 22, CDLL = -2012.5, AR(1.64) = [0.49], Max-Change = 0.0253
Stage 1 = 23, CDLL = -2008.3, AR(1.64) = [0.54], Max-Change = 0.0290
Stage 1 = 24, CDLL = -2000.6, AR(1.64) = [0.51], Max-Change = 0.0157
Stage 1 = 25, CDLL = -2002.8, AR(1.64) = [0.54], Max-Change = 0.0171
Stage 1 = 26, CDLL = -1986.9, AR(1.64) = [0.51], Max-Change = 0.0140
Stage 1 = 27, CDLL = -1981.5, AR(1.64) = [0.52], Max-Change = 0.0117
Stage 1 = 28, CDLL = -1981.1, AR(1.64) = [0.50], Max-Change = 0.0350
Stage 1 = 29, CDLL = -1989.0, AR(1.64) = [0.45], Max-Change = 0.0598
Stage 1 = 30, CDLL = -2005.0, AR(1.64) = [0.48], Max-Change = 0.0187
Stage 1 = 31, CDLL = -1967.3, AR(1.64) = [0.50], Max-Change = 0.0132
Stage 1 = 32, CDLL = -1991.7, AR(1.64) = [0.49], Max-Change = 0.0261
Stage 1 = 33, CDLL = -1994.8, AR(1.64) = [0.48], Max-Change = 0.0297
Stage 1 = 34, CDLL = -1981.2, AR(1.64) = [0.52], Max-Change = 0.0074
Stage 1 = 35, CDLL = -1973.8, AR(1.64) = [0.48], Max-Change = 0.0052
Stage 1 = 36, CDLL = -2001.8, AR(1.64) = [0.49], Max-Change = 0.0281
Stage 1 = 37, CDLL = -1994.1, AR(1.64) = [0.47], Max-Change = 0.0186
Stage 1 = 38, CDLL = -1998.4, AR(1.64) = [0.49], Max-Change = 0.0302
Stage 1 = 39, CDLL = -2004.0, AR(1.64) = [0.52], Max-Change = 0.0417
Stage 1 = 40, CDLL = -1973.4, AR(1.64) = [0.52], Max-Change = 0.0215
Stage 1 = 41, CDLL = -1990.5, AR(1.64) = [0.50], Max-Change = 0.0501
Stage 1 = 42, CDLL = -2014.0, AR(1.64) = [0.53], Max-Change = 0.0178
Stage 1 = 43, CDLL = -1994.0, AR(1.64) = [0.48], Max-Change = 0.0388
Stage 1 = 44, CDLL = -1970.3, AR(1.64) = [0.48], Max-Change = 0.0248
Stage 1 = 45, CDLL = -1997.2, AR(1.64) = [0.51], Max-Change = 0.0528
Stage 1 = 46, CDLL = -1964.9, AR(1.64) = [0.49], Max-Change = 0.0227
Stage 1 = 47, CDLL = -1977.2, AR(1.64) = [0.54], Max-Change = 0.0224
Stage 1 = 48, CDLL = -1978.0, AR(1.64) = [0.49], Max-Change = 0.0226
Stage 1 = 49, CDLL = -1990.3, AR(1.64) = [0.50], Max-Change = 0.0182
Stage 1 = 50, CDLL = -1962.7, AR(1.64) = [0.46], Max-Change = 0.0037
Stage 1 = 51, CDLL = -1991.2, AR(1.64) = [0.46], Max-Change = 0.0091
Stage 1 = 52, CDLL = -2003.4, AR(1.64) = [0.48], Max-Change = 0.0254
Stage 1 = 53, CDLL = -1973.9, AR(1.64) = [0.48], Max-Change = 0.0213
Stage 1 = 54, CDLL = -1989.3, AR(1.64) = [0.51], Max-Change = 0.0231
Stage 1 = 55, CDLL = -2009.0, AR(1.64) = [0.52], Max-Change = 0.0188
Stage 1 = 56, CDLL = -1988.4, AR(1.64) = [0.49], Max-Change = 0.0261
Stage 1 = 57, CDLL = -2001.1, AR(1.64) = [0.48], Max-Change = 0.0165
Stage 1 = 58, CDLL = -1994.4, AR(1.64) = [0.50], Max-Change = 0.0136
Stage 1 = 59, CDLL = -1981.7, AR(1.64) = [0.48], Max-Change = 0.0445
Stage 1 = 60, CDLL = -1979.0, AR(1.64) = [0.49], Max-Change = 0.0255
Stage 1 = 61, CDLL = -1995.1, AR(1.64) = [0.49], Max-Change = 0.0269
Stage 1 = 62, CDLL = -1988.2, AR(1.64) = [0.44], Max-Change = 0.0198
Stage 1 = 63, CDLL = -1981.6, AR(1.64) = [0.48], Max-Change = 0.0410
Stage 1 = 64, CDLL = -2001.1, AR(1.64) = [0.56], Max-Change = 0.0160
Stage 1 = 65, CDLL = -1997.7, AR(1.64) = [0.46], Max-Change = 0.0145
Stage 1 = 66, CDLL = -1978.7, AR(1.64) = [0.49], Max-Change = 0.0096
Stage 1 = 67, CDLL = -1979.2, AR(1.64) = [0.47], Max-Change = 0.0160
Stage 1 = 68, CDLL = -2002.8, AR(1.64) = [0.51], Max-Change = 0.0495
Stage 1 = 69, CDLL = -1982.5, AR(1.64) = [0.51], Max-Change = 0.0382
Stage 1 = 70, CDLL = -1969.5, AR(1.64) = [0.52], Max-Change = 0.0194
Stage 1 = 71, CDLL = -1995.1, AR(1.64) = [0.51], Max-Change = 0.0273
Stage 1 = 72, CDLL = -1998.4, AR(1.64) = [0.46], Max-Change = 0.0555
Stage 1 = 73, CDLL = -1981.3, AR(1.64) = [0.48], Max-Change = 0.0118
Stage 1 = 74, CDLL = -2013.7, AR(1.64) = [0.49], Max-Change = 0.0238
Stage 1 = 75, CDLL = -1976.3, AR(1.64) = [0.48], Max-Change = 0.0052
Stage 1 = 76, CDLL = -1988.1, AR(1.64) = [0.49], Max-Change = 0.0371
Stage 1 = 77, CDLL = -1996.7, AR(1.64) = [0.50], Max-Change = 0.0250
Stage 1 = 78, CDLL = -1996.1, AR(1.64) = [0.48], Max-Change = 0.0414
Stage 1 = 79, CDLL = -1978.6, AR(1.64) = [0.51], Max-Change = 0.0157
Stage 1 = 80, CDLL = -1972.1, AR(1.64) = [0.51], Max-Change = 0.0294
Stage 1 = 81, CDLL = -2001.6, AR(1.64) = [0.44], Max-Change = 0.0270
Stage 1 = 82, CDLL = -1997.7, AR(1.64) = [0.48], Max-Change = 0.0228
Stage 1 = 83, CDLL = -1986.8, AR(1.64) = [0.47], Max-Change = 0.0059
Stage 1 = 84, CDLL = -1971.8, AR(1.64) = [0.52], Max-Change = 0.0323
Stage 1 = 85, CDLL = -1979.4, AR(1.64) = [0.51], Max-Change = 0.0277
Stage 1 = 86, CDLL = -1992.7, AR(1.64) = [0.51], Max-Change = 0.0092
Stage 1 = 87, CDLL = -1962.2, AR(1.64) = [0.46], Max-Change = 0.0094
Stage 1 = 88, CDLL = -1979.9, AR(1.64) = [0.48], Max-Change = 0.0214
Stage 1 = 89, CDLL = -1974.6, AR(1.64) = [0.51], Max-Change = 0.0300
Stage 1 = 90, CDLL = -1981.3, AR(1.64) = [0.52], Max-Change = 0.0302
Stage 1 = 91, CDLL = -1973.2, AR(1.64) = [0.48], Max-Change = 0.0401
Stage 1 = 92, CDLL = -1989.6, AR(1.64) = [0.51], Max-Change = 0.0091
Stage 1 = 93, CDLL = -1999.2, AR(1.64) = [0.49], Max-Change = 0.0820
Stage 1 = 94, CDLL = -1977.5, AR(1.64) = [0.47], Max-Change = 0.0138
Stage 1 = 95, CDLL = -1971.5, AR(1.64) = [0.52], Max-Change = 0.0163
Stage 1 = 96, CDLL = -1997.7, AR(1.64) = [0.49], Max-Change = 0.0619
Stage 1 = 97, CDLL = -1966.0, AR(1.64) = [0.46], Max-Change = 0.0539
Stage 1 = 98, CDLL = -1973.6, AR(1.64) = [0.43], Max-Change = 0.0059
Stage 1 = 99, CDLL = -1990.4, AR(1.64) = [0.47], Max-Change = 0.0250
Stage 1 = 100, CDLL = -1989.7, AR(1.53) = [0.50], Max-Change = 0.0126
Stage 1 = 101, CDLL = -1981.4, AR(1.53; 4.08) = [0.49; 0.49], Max-Change = 0.0472
Stage 1 = 102, CDLL = -1966.5, AR(1.53; 4.08) = [0.47; 0.43], Max-Change = 0.0278
Stage 1 = 103, CDLL = -1982.0, AR(1.53; 4.08) = [0.54; 0.41], Max-Change = 0.0999
Stage 1 = 104, CDLL = -1973.0, AR(1.53; 4.08) = [0.49; 0.31], Max-Change = 0.0248
Stage 1 = 105, CDLL = -1997.9, AR(1.53; 4.08) = [0.46; 0.35], Max-Change = 0.0933
Stage 1 = 106, CDLL = -1967.3, AR(1.53; 4.08) = [0.45; 0.47], Max-Change = 0.2000
Stage 1 = 107, CDLL = -1969.5, AR(1.53; 4.08) = [0.48; 0.27], Max-Change = 0.0784
Stage 1 = 108, CDLL = -1971.4, AR(1.53; 4.08) = [0.47; 0.20], Max-Change = 0.0183
Stage 1 = 109, CDLL = -2009.8, AR(1.53; 4.08) = [0.49; 0.29], Max-Change = 0.0312
Stage 1 = 110, CDLL = -2008.5, AR(1.53; 4.08) = [0.48; 0.29], Max-Change = 0.0170
Stage 1 = 111, CDLL = -1981.4, AR(1.53; 4.08) = [0.51; 0.24], Max-Change = 0.0667
Stage 1 = 112, CDLL = -1982.2, AR(1.53; 4.08) = [0.52; 0.24], Max-Change = 0.0366
Stage 1 = 113, CDLL = -1984.9, AR(1.53; 4.08) = [0.54; 0.33], Max-Change = 0.1640
Stage 1 = 114, CDLL = -1972.0, AR(1.53; 4.08) = [0.50; 0.24], Max-Change = 0.0398
Stage 1 = 115, CDLL = -1989.5, AR(1.53; 4.08) = [0.51; 0.22], Max-Change = 0.0143
Stage 1 = 116, CDLL = -1992.0, AR(1.53; 4.08) = [0.50; 0.22], Max-Change = 0.0223
Stage 1 = 117, CDLL = -2001.4, AR(1.53; 4.08) = [0.49; 0.24], Max-Change = 0.0374
Stage 1 = 118, CDLL = -1990.8, AR(1.53; 4.08) = [0.46; 0.20], Max-Change = 0.0143
Stage 1 = 119, CDLL = -2011.9, AR(1.53; 4.08) = [0.49; 0.14], Max-Change = 0.0153
Stage 1 = 120, CDLL = -1980.4, AR(1.53; 4.08) = [0.51; 0.18], Max-Change = 0.0348
Stage 1 = 121, CDLL = -1992.9, AR(1.53; 4.08) = [0.51; 0.16], Max-Change = 0.0118
Stage 1 = 122, CDLL = -1988.2, AR(1.53; 4.08) = [0.44; 0.27], Max-Change = 0.0261
Stage 1 = 123, CDLL = -2013.9, AR(1.53; 4.08) = [0.51; 0.10], Max-Change = 0.1477
Stage 1 = 124, CDLL = -1994.9, AR(1.53; 4.08) = [0.53; 0.20], Max-Change = 0.0443
Stage 1 = 125, CDLL = -2018.6, AR(1.53; 4.08) = [0.49; 0.18], Max-Change = 0.0091
Stage 1 = 126, CDLL = -2000.9, AR(1.53; 4.08) = [0.47; 0.10], Max-Change = 0.0144
Stage 1 = 127, CDLL = -1990.4, AR(1.53; 4.08) = [0.53; 0.22], Max-Change = 0.0168
Stage 1 = 128, CDLL = -1974.1, AR(1.53; 4.08) = [0.53; 0.24], Max-Change = 0.0444
Stage 1 = 129, CDLL = -2016.0, AR(1.53; 4.08) = [0.49; 0.14], Max-Change = 0.0190
Stage 1 = 130, CDLL = -1999.5, AR(1.53; 4.08) = [0.49; 0.06], Max-Change = 0.0157
Stage 1 = 131, CDLL = -2011.7, AR(1.53; 4.08) = [0.48; 0.12], Max-Change = 0.0231
Stage 1 = 132, CDLL = -2012.0, AR(1.53; 4.08) = [0.55; 0.08], Max-Change = 0.0213
Stage 1 = 133, CDLL = -1990.6, AR(1.53; 4.08) = [0.52; 0.14], Max-Change = 0.0231
Stage 1 = 134, CDLL = -2002.5, AR(1.53; 4.08) = [0.47; 0.12], Max-Change = 0.0278
Stage 1 = 135, CDLL = -1990.7, AR(1.53; 4.08) = [0.53; 0.16], Max-Change = 0.0082
Stage 1 = 136, CDLL = -2001.1, AR(1.53; 4.08) = [0.49; 0.20], Max-Change = 0.0440
Stage 1 = 137, CDLL = -2033.8, AR(1.53; 4.08) = [0.53; 0.12], Max-Change = 0.0320
Stage 1 = 138, CDLL = -2006.4, AR(1.53; 4.08) = [0.50; 0.06], Max-Change = 0.0238
Stage 1 = 139, CDLL = -1991.4, AR(1.53; 4.08) = [0.49; 0.22], Max-Change = 0.0408
Stage 1 = 140, CDLL = -2010.7, AR(1.53; 4.08) = [0.51; 0.10], Max-Change = 0.0082
Stage 1 = 141, CDLL = -1974.1, AR(1.53; 4.08) = [0.50; 0.10], Max-Change = 0.0251
Stage 1 = 142, CDLL = -1986.8, AR(1.53; 4.08) = [0.49; 0.12], Max-Change = 0.0223
Stage 1 = 143, CDLL = -2010.3, AR(1.53; 4.08) = [0.50; 0.18], Max-Change = 0.2000
Stage 1 = 144, CDLL = -1989.8, AR(1.53; 4.08) = [0.49; 0.02], Max-Change = 0.0111
Stage 1 = 145, CDLL = -1981.1, AR(1.53; 4.08) = [0.53; 0.10], Max-Change = 0.0245
Stage 1 = 146, CDLL = -2003.6, AR(1.53; 4.08) = [0.51; 0.04], Max-Change = 0.0052
Stage 1 = 147, CDLL = -1989.0, AR(1.53; 4.08) = [0.49; 0.14], Max-Change = 0.0256
Stage 1 = 148, CDLL = -1971.4, AR(1.53; 4.08) = [0.50; 0.18], Max-Change = 0.0124
Stage 1 = 149, CDLL = -2020.7, AR(1.53; 4.08) = [0.49; 0.06], Max-Change = 0.0316
Stage 1 = 150, CDLL = -1995.1, AR(1.53; 4.08) = [0.48; 0.12], Max-Change = 0.0363
Stage 1 = 151, CDLL = -1996.9, AR(1.53; 4.08) = [0.48; 0.16], Max-Change = 0.0302
Stage 1 = 152, CDLL = -1996.6, AR(1.53; 4.08) = [0.49; 0.08], Max-Change = 0.0088
Stage 1 = 153, CDLL = -1999.6, AR(1.53; 4.08) = [0.47; 0.04], Max-Change = 0.0356
Stage 1 = 154, CDLL = -1976.6, AR(1.53; 4.08) = [0.55; 0.06], Max-Change = 0.0298
Stage 1 = 155, CDLL = -2001.8, AR(1.53; 4.08) = [0.49; 0.08], Max-Change = 0.0329
Stage 1 = 156, CDLL = -2005.3, AR(1.53; 4.08) = [0.51; 0.08], Max-Change = 0.0517
Stage 1 = 157, CDLL = -2005.6, AR(1.53; 4.08) = [0.52; 0.06], Max-Change = 0.0219
Stage 1 = 158, CDLL = -2000.8, AR(1.53; 4.08) = [0.54; 0.14], Max-Change = 0.0085
Stage 1 = 159, CDLL = -1990.1, AR(1.53; 4.08) = [0.51; 0.10], Max-Change = 0.0108
Stage 1 = 160, CDLL = -1985.4, AR(1.53; 4.08) = [0.53; 0.06], Max-Change = 0.0283
Stage 1 = 161, CDLL = -1991.1, AR(1.53; 4.08) = [0.48; 0.04], Max-Change = 0.0234
Stage 1 = 162, CDLL = -1999.2, AR(1.53; 4.08) = [0.51; 0.18], Max-Change = 0.0235
Stage 1 = 163, CDLL = -1992.0, AR(1.53; 4.08) = [0.55; 0.04], Max-Change = 0.0381
Stage 1 = 164, CDLL = -1996.4, AR(1.53; 4.08) = [0.49; 0.10], Max-Change = 0.0311
Stage 1 = 165, CDLL = -1971.4, AR(1.53; 4.08) = [0.50; 0.14], Max-Change = 0.0693
Stage 1 = 166, CDLL = -1980.4, AR(1.53; 4.08) = [0.50; 0.04], Max-Change = 0.0397
Stage 1 = 167, CDLL = -1974.1, AR(1.53; 4.08) = [0.53; 0.06], Max-Change = 0.0596
Stage 1 = 168, CDLL = -1954.9, AR(1.53; 4.08) = [0.51; 0.08], Max-Change = 0.0471
Stage 1 = 169, CDLL = -1987.3, AR(1.53; 4.08) = [0.47; 0.02], Max-Change = 0.0343
Stage 1 = 170, CDLL = -1970.4, AR(1.53; 4.08) = [0.53; 0.00], Max-Change = 0.0371
Stage 1 = 171, CDLL = -1984.1, AR(1.53; 4.08) = [0.52; 0.06], Max-Change = 0.0371
Stage 1 = 172, CDLL = -1995.1, AR(1.53; 4.08) = [0.51; 0.04], Max-Change = 0.0160
Stage 1 = 173, CDLL = -1996.4, AR(1.53; 4.08) = [0.47; 0.04], Max-Change = 0.0327
Stage 1 = 174, CDLL = -1989.0, AR(1.53; 4.08) = [0.53; 0.12], Max-Change = 0.0152
Stage 1 = 175, CDLL = -1981.9, AR(1.53; 4.08) = [0.48; 0.10], Max-Change = 0.0242
Stage 1 = 176, CDLL = -1991.0, AR(1.53; 4.08) = [0.52; 0.04], Max-Change = 0.0370
Stage 1 = 177, CDLL = -1988.0, AR(1.53; 4.08) = [0.50; 0.08], Max-Change = 0.0250
Stage 1 = 178, CDLL = -1982.1, AR(1.53; 4.08) = [0.52; 0.06], Max-Change = 0.0365
Stage 1 = 179, CDLL = -1985.2, AR(1.53; 4.08) = [0.47; 0.02], Max-Change = 0.0145
Stage 1 = 180, CDLL = -1976.5, AR(1.53; 4.08) = [0.51; 0.06], Max-Change = 0.0242
Stage 1 = 181, CDLL = -2011.0, AR(1.53; 4.08) = [0.48; 0.06], Max-Change = 0.0182
Stage 1 = 182, CDLL = -1986.6, AR(1.53; 4.08) = [0.52; 0.06], Max-Change = 0.0203
Stage 1 = 183, CDLL = -1998.2, AR(1.53; 4.08) = [0.48; 0.12], Max-Change = 0.0343
Stage 1 = 184, CDLL = -1978.5, AR(1.53; 4.08) = [0.52; 0.06], Max-Change = 0.0251
Stage 1 = 185, CDLL = -1988.9, AR(1.53; 4.08) = [0.54; 0.06], Max-Change = 0.0231
Stage 1 = 186, CDLL = -1989.9, AR(1.53; 4.08) = [0.47; 0.02], Max-Change = 0.0061
Stage 1 = 187, CDLL = -2004.9, AR(1.53; 4.08) = [0.52; 0.04], Max-Change = 0.0145
Stage 1 = 188, CDLL = -2000.9, AR(1.53; 4.08) = [0.50; 0.06], Max-Change = 0.0328
Stage 1 = 189, CDLL = -1988.7, AR(1.53; 4.08) = [0.48; 0.10], Max-Change = 0.0212
Stage 1 = 190, CDLL = -1984.3, AR(1.53; 4.08) = [0.53; 0.04], Max-Change = 0.0181
Stage 1 = 191, CDLL = -2005.1, AR(1.53; 4.08) = [0.47; 0.00], Max-Change = 0.0260
Stage 1 = 192, CDLL = -1972.9, AR(1.53; 4.08) = [0.52; 0.12], Max-Change = 0.0101
Stage 1 = 193, CDLL = -1997.1, AR(1.53; 4.08) = [0.49; 0.04], Max-Change = 0.0139
Stage 1 = 194, CDLL = -1997.9, AR(1.53; 4.08) = [0.48; 0.12], Max-Change = 0.0107
Stage 1 = 195, CDLL = -1978.6, AR(1.53; 4.08) = [0.54; 0.10], Max-Change = 0.0053
Stage 1 = 196, CDLL = -1971.3, AR(1.53; 4.08) = [0.48; 0.10], Max-Change = 0.0552
Stage 1 = 197, CDLL = -2002.7, AR(1.53; 4.08) = [0.48; 0.04], Max-Change = 0.0186
Stage 1 = 198, CDLL = -1973.0, AR(1.53; 4.08) = [0.52; 0.04], Max-Change = 0.0305
Stage 1 = 199, CDLL = -1997.9, AR(1.53; 4.08) = [0.48; 0.02], Max-Change = 0.0174
Stage 1 = 200, CDLL = -1964.2, AR(2.82; 0.00) = [0.39; 0.80], Max-Change = 0.0232
Stage 2 = 1, CDLL = -1998.7, AR(2.82; 0.00) = [0.39; 0.76], Max-Change = 0.0176
Stage 2 = 2, CDLL = -1987.4, AR(2.82; 0.00) = [0.43; 0.63], Max-Change = 0.0055
Stage 2 = 3, CDLL = -1966.7, AR(2.82; 0.00) = [0.43; 0.65], Max-Change = 0.0257
Stage 2 = 4, CDLL = -1966.2, AR(2.82; 0.00) = [0.40; 0.67], Max-Change = 0.0202
Stage 2 = 5, CDLL = -1971.0, AR(2.82; 0.00) = [0.43; 0.67], Max-Change = 0.0191
Stage 2 = 6, CDLL = -1972.1, AR(2.82; 0.00) = [0.41; 0.82], Max-Change = 0.0085
Stage 2 = 7, CDLL = -1999.1, AR(2.82; 0.00) = [0.39; 0.63], Max-Change = 0.0236
Stage 2 = 8, CDLL = -1976.5, AR(2.82; 0.00) = [0.41; 0.80], Max-Change = 0.0117
Stage 2 = 9, CDLL = -1998.3, AR(2.82; 0.00) = [0.38; 0.65], Max-Change = 0.0123
Stage 2 = 10, CDLL = -1970.9, AR(2.82; 0.00) = [0.38; 0.71], Max-Change = 0.0412
Stage 2 = 11, CDLL = -1977.9, AR(2.82; 0.00) = [0.41; 0.82], Max-Change = 0.0324
Stage 2 = 12, CDLL = -1975.0, AR(2.82; 0.00) = [0.40; 0.73], Max-Change = 0.0294
Stage 2 = 13, CDLL = -2006.0, AR(2.82; 0.00) = [0.44; 0.65], Max-Change = 0.0184
Stage 2 = 14, CDLL = -1980.9, AR(2.82; 0.00) = [0.44; 0.71], Max-Change = 0.0159
Stage 2 = 15, CDLL = -1996.4, AR(2.82; 0.00) = [0.46; 0.71], Max-Change = 0.0174
Stage 2 = 16, CDLL = -1975.3, AR(2.82; 0.00) = [0.41; 0.73], Max-Change = 0.0132
Stage 2 = 17, CDLL = -1969.6, AR(2.82; 0.00) = [0.42; 0.80], Max-Change = 0.0290
Stage 2 = 18, CDLL = -1988.2, AR(2.82; 0.00) = [0.39; 0.69], Max-Change = 0.0222
Stage 2 = 19, CDLL = -1994.8, AR(2.82; 0.00) = [0.38; 0.82], Max-Change = 0.0331
Stage 2 = 20, CDLL = -1987.2, AR(2.82; 0.00) = [0.39; 0.84], Max-Change = 0.0446
Stage 2 = 21, CDLL = -2017.2, AR(2.82; 0.00) = [0.42; 0.71], Max-Change = 0.0547
Stage 2 = 22, CDLL = -1981.2, AR(2.82; 0.00) = [0.41; 0.76], Max-Change = 0.0381
Stage 2 = 23, CDLL = -2003.7, AR(2.82; 0.00) = [0.39; 0.71], Max-Change = 0.0320
Stage 2 = 24, CDLL = -1969.6, AR(2.82; 0.00) = [0.39; 0.73], Max-Change = 0.0527
Stage 2 = 25, CDLL = -1955.5, AR(2.82; 0.00) = [0.36; 0.71], Max-Change = 0.0478
Stage 2 = 26, CDLL = -1974.2, AR(2.82; 0.00) = [0.41; 0.76], Max-Change = 0.0351
Stage 2 = 27, CDLL = -1971.7, AR(2.82; 0.00) = [0.42; 0.73], Max-Change = 0.0380
Stage 2 = 28, CDLL = -1994.5, AR(2.82; 0.00) = [0.40; 0.69], Max-Change = 0.0211
Stage 2 = 29, CDLL = -1991.1, AR(2.82; 0.00) = [0.42; 0.73], Max-Change = 0.0213
Stage 2 = 30, CDLL = -1958.1, AR(2.82; 0.00) = [0.42; 0.80], Max-Change = 0.0547
Stage 2 = 31, CDLL = -1986.5, AR(2.82; 0.00) = [0.41; 0.71], Max-Change = 0.0155
Stage 2 = 32, CDLL = -1997.2, AR(2.82; 0.00) = [0.42; 0.67], Max-Change = 0.0092
Stage 2 = 33, CDLL = -2030.1, AR(2.82; 0.00) = [0.39; 0.69], Max-Change = 0.0178
Stage 2 = 34, CDLL = -2022.2, AR(2.82; 0.00) = [0.38; 0.61], Max-Change = 0.0393
Stage 2 = 35, CDLL = -1990.6, AR(2.82; 0.00) = [0.41; 0.65], Max-Change = 0.0074
Stage 2 = 36, CDLL = -1993.2, AR(2.82; 0.00) = [0.36; 0.76], Max-Change = 0.0178
Stage 2 = 37, CDLL = -1978.5, AR(2.82; 0.00) = [0.40; 0.80], Max-Change = 0.0199
Stage 2 = 38, CDLL = -1980.2, AR(2.82; 0.00) = [0.38; 0.63], Max-Change = 0.0740
Stage 2 = 39, CDLL = -1971.3, AR(2.82; 0.00) = [0.41; 0.67], Max-Change = 0.0120
Stage 2 = 40, CDLL = -1982.5, AR(2.82; 0.00) = [0.39; 0.67], Max-Change = 0.0230
Stage 2 = 41, CDLL = -1992.0, AR(2.82; 0.00) = [0.40; 0.71], Max-Change = 0.0285
Stage 2 = 42, CDLL = -2009.1, AR(2.82; 0.00) = [0.46; 0.69], Max-Change = 0.0158
Stage 2 = 43, CDLL = -2007.6, AR(2.82; 0.00) = [0.42; 0.67], Max-Change = 0.0081
Stage 2 = 44, CDLL = -1987.9, AR(2.82; 0.00) = [0.45; 0.67], Max-Change = 0.0257
Stage 2 = 45, CDLL = -1999.9, AR(2.82; 0.00) = [0.39; 0.65], Max-Change = 0.0076
Stage 2 = 46, CDLL = -1995.1, AR(2.82; 0.00) = [0.42; 0.73], Max-Change = 0.0203
Stage 2 = 47, CDLL = -1967.6, AR(2.82; 0.00) = [0.39; 0.76], Max-Change = 0.0119
Stage 2 = 48, CDLL = -1997.1, AR(2.82; 0.00) = [0.38; 0.59], Max-Change = 0.0317
Stage 2 = 49, CDLL = -1974.2, AR(2.82; 0.00) = [0.40; 0.67], Max-Change = 0.0153
Stage 2 = 50, CDLL = -1973.6, AR(2.82; 0.00) = [0.43; 0.67], Max-Change = 0.0327
Stage 2 = 51, CDLL = -1975.7, AR(2.82; 0.00) = [0.39; 0.69], Max-Change = 0.0362
Stage 2 = 52, CDLL = -1983.8, AR(2.82; 0.00) = [0.39; 0.61], Max-Change = 0.0118
Stage 2 = 53, CDLL = -1960.9, AR(2.82; 0.00) = [0.38; 0.80], Max-Change = 0.0187
Stage 2 = 54, CDLL = -1949.8, AR(2.82; 0.00) = [0.39; 0.73], Max-Change = 0.0571
Stage 2 = 55, CDLL = -1977.7, AR(2.82; 0.00) = [0.40; 0.80], Max-Change = 0.0288
Stage 2 = 56, CDLL = -1963.4, AR(2.82; 0.00) = [0.41; 0.78], Max-Change = 0.0133
Stage 2 = 57, CDLL = -1982.5, AR(2.82; 0.00) = [0.37; 0.73], Max-Change = 0.0365
Stage 2 = 58, CDLL = -2004.1, AR(2.82; 0.00) = [0.40; 0.67], Max-Change = 0.0157
Stage 2 = 59, CDLL = -1965.3, AR(2.82; 0.00) = [0.37; 0.71], Max-Change = 0.0135
Stage 2 = 60, CDLL = -2019.5, AR(2.82; 0.00) = [0.40; 0.67], Max-Change = 0.0211
Stage 2 = 61, CDLL = -1999.1, AR(2.82; 0.00) = [0.41; 0.80], Max-Change = 0.0368
Stage 2 = 62, CDLL = -1983.1, AR(2.82; 0.00) = [0.42; 0.80], Max-Change = 0.0104
Stage 2 = 63, CDLL = -1981.7, AR(2.82; 0.00) = [0.41; 0.65], Max-Change = 0.0265
Stage 2 = 64, CDLL = -1983.4, AR(2.82; 0.00) = [0.38; 0.69], Max-Change = 0.0138
Stage 2 = 65, CDLL = -1992.3, AR(2.82; 0.00) = [0.42; 0.63], Max-Change = 0.0203
Stage 2 = 66, CDLL = -1969.3, AR(2.82; 0.00) = [0.42; 0.71], Max-Change = 0.0366
Stage 2 = 67, CDLL = -1989.0, AR(2.82; 0.00) = [0.39; 0.65], Max-Change = 0.0227
Stage 2 = 68, CDLL = -1966.9, AR(2.82; 0.00) = [0.40; 0.63], Max-Change = 0.0356
Stage 2 = 69, CDLL = -1989.1, AR(2.82; 0.00) = [0.35; 0.61], Max-Change = 0.0329
Stage 2 = 70, CDLL = -1968.1, AR(2.82; 0.00) = [0.41; 0.69], Max-Change = 0.0566
Stage 2 = 71, CDLL = -2002.8, AR(2.82; 0.00) = [0.40; 0.69], Max-Change = 0.0124
Stage 2 = 72, CDLL = -1961.4, AR(2.82; 0.00) = [0.35; 0.67], Max-Change = 0.0127
Stage 2 = 73, CDLL = -1985.2, AR(2.82; 0.00) = [0.41; 0.57], Max-Change = 0.0163
Stage 2 = 74, CDLL = -2015.9, AR(2.82; 0.00) = [0.40; 0.57], Max-Change = 0.0133
Stage 2 = 75, CDLL = -1985.4, AR(2.82; 0.00) = [0.33; 0.71], Max-Change = 0.0307
Stage 2 = 76, CDLL = -1965.5, AR(2.82; 0.00) = [0.42; 0.76], Max-Change = 0.0247
Stage 2 = 77, CDLL = -1968.8, AR(2.82; 0.00) = [0.43; 0.76], Max-Change = 0.0069
Stage 2 = 78, CDLL = -1985.5, AR(2.82; 0.00) = [0.40; 0.69], Max-Change = 0.0221
Stage 2 = 79, CDLL = -1984.8, AR(2.82; 0.00) = [0.40; 0.80], Max-Change = 0.0158
Stage 2 = 80, CDLL = -1983.8, AR(2.82; 0.00) = [0.42; 0.67], Max-Change = 0.0242
Stage 2 = 81, CDLL = -1963.3, AR(2.82; 0.00) = [0.39; 0.84], Max-Change = 0.0052
Stage 2 = 82, CDLL = -1979.9, AR(2.82; 0.00) = [0.45; 0.76], Max-Change = 0.0228
Stage 2 = 83, CDLL = -1975.8, AR(2.82; 0.00) = [0.38; 0.76], Max-Change = 0.0170
Stage 2 = 84, CDLL = -1975.7, AR(2.82; 0.00) = [0.43; 0.86], Max-Change = 0.0107
Stage 2 = 85, CDLL = -1967.1, AR(2.82; 0.00) = [0.37; 0.86], Max-Change = 0.0293
Stage 2 = 86, CDLL = -1985.1, AR(2.82; 0.00) = [0.41; 0.73], Max-Change = 0.0277
Stage 2 = 87, CDLL = -1958.6, AR(2.82; 0.00) = [0.38; 0.80], Max-Change = 0.0145
Stage 2 = 88, CDLL = -1979.4, AR(2.82; 0.00) = [0.39; 0.78], Max-Change = 0.0471
Stage 2 = 89, CDLL = -1984.6, AR(2.82; 0.00) = [0.42; 0.67], Max-Change = 0.0053
Stage 2 = 90, CDLL = -1998.5, AR(2.82; 0.00) = [0.42; 0.65], Max-Change = 0.0236
Stage 2 = 91, CDLL = -1974.2, AR(2.82; 0.00) = [0.39; 0.78], Max-Change = 0.0284
Stage 2 = 92, CDLL = -1969.4, AR(2.82; 0.00) = [0.40; 0.86], Max-Change = 0.0147
Stage 2 = 93, CDLL = -1966.0, AR(2.82; 0.00) = [0.43; 0.78], Max-Change = 0.0189
Stage 2 = 94, CDLL = -1982.4, AR(2.82; 0.00) = [0.37; 0.71], Max-Change = 0.0147
Stage 2 = 95, CDLL = -1966.0, AR(2.82; 0.00) = [0.40; 0.73], Max-Change = 0.0253
Stage 2 = 96, CDLL = -1974.5, AR(2.82; 0.00) = [0.44; 0.67], Max-Change = 0.0429
Stage 2 = 97, CDLL = -1994.2, AR(2.82; 0.00) = [0.40; 0.71], Max-Change = 0.0081
Stage 2 = 98, CDLL = -1965.6, AR(2.82; 0.00) = [0.40; 0.80], Max-Change = 0.0276
Stage 2 = 99, CDLL = -1972.5, AR(2.82; 0.00) = [0.41; 0.80], Max-Change = 0.0364
Stage 2 = 100, CDLL = -1980.7, AR(2.82; 0.00) = [0.38; 0.69], Max-Change = 0.0184
Stage 3 = 1, CDLL = -1965.8, AR(2.82; 0.00) = [0.40; 0.82], gam = 0.0000, Max-Change = 0.0000
Stage 3 = 2, CDLL = -2005.8, AR(2.82; 0.00) = [0.38; 0.59], gam = 0.1778, Max-Change = 0.0217
Stage 3 = 3, CDLL = -1966.7, AR(2.82; 0.00) = [0.40; 0.73], gam = 0.1057, Max-Change = 0.0110
Stage 3 = 4, CDLL = -1972.9, AR(2.82; 0.00) = [0.41; 0.76], gam = 0.0780, Max-Change = 0.0088
Stage 3 = 5, CDLL = -1990.0, AR(2.82; 0.00) = [0.40; 0.67], gam = 0.0629, Max-Change = 0.0031
Stage 3 = 6, CDLL = -1974.0, AR(2.82; 0.00) = [0.40; 0.71], gam = 0.0532, Max-Change = 0.0044
Stage 3 = 7, CDLL = -1989.0, AR(2.82; 0.00) = [0.42; 0.73], gam = 0.0464, Max-Change = 0.0037
Stage 3 = 8, CDLL = -2001.7, AR(2.82; 0.00) = [0.43; 0.80], gam = 0.0413, Max-Change = 0.0045
Stage 3 = 9, CDLL = -1962.5, AR(2.82; 0.00) = [0.40; 0.73], gam = 0.0374, Max-Change = 0.0044
Stage 3 = 10, CDLL = -1961.2, AR(2.82; 0.00) = [0.42; 0.82], gam = 0.0342, Max-Change = 0.0029
Stage 3 = 11, CDLL = -1973.4, AR(2.82; 0.00) = [0.39; 0.69], gam = 0.0316, Max-Change = 0.0062
Stage 3 = 12, CDLL = -1988.5, AR(2.82; 0.00) = [0.39; 0.55], gam = 0.0294, Max-Change = 0.0045
Stage 3 = 13, CDLL = -1999.6, AR(2.82; 0.00) = [0.41; 0.65], gam = 0.0276, Max-Change = 0.0019
Stage 3 = 14, CDLL = -1994.8, AR(2.82; 0.00) = [0.41; 0.67], gam = 0.0260, Max-Change = 0.0010
Stage 3 = 15, CDLL = -1998.9, AR(2.82; 0.00) = [0.39; 0.65], gam = 0.0246, Max-Change = 0.0030
Stage 3 = 16, CDLL = -1980.1, AR(2.82; 0.00) = [0.44; 0.69], gam = 0.0233, Max-Change = 0.0011
Stage 3 = 17, CDLL = -2004.4, AR(2.82; 0.00) = [0.40; 0.63], gam = 0.0222, Max-Change = 0.0026
Stage 3 = 18, CDLL = -1987.6, AR(2.82; 0.00) = [0.44; 0.73], gam = 0.0212, Max-Change = 0.0026
Stage 3 = 19, CDLL = -1978.5, AR(2.82; 0.00) = [0.45; 0.61], gam = 0.0203, Max-Change = 0.0017
Stage 3 = 20, CDLL = -1979.8, AR(2.82; 0.00) = [0.44; 0.78], gam = 0.0195, Max-Change = 0.0023
Stage 3 = 21, CDLL = -1984.1, AR(2.82; 0.00) = [0.39; 0.73], gam = 0.0188, Max-Change = 0.0007
Stage 3 = 22, CDLL = -1997.7, AR(2.82; 0.00) = [0.40; 0.55], gam = 0.0181, Max-Change = 0.0036
Stage 3 = 23, CDLL = -1982.3, AR(2.82; 0.00) = [0.41; 0.69], gam = 0.0175, Max-Change = 0.0007
Stage 3 = 24, CDLL = -1995.8, AR(2.82; 0.00) = [0.42; 0.67], gam = 0.0169, Max-Change = 0.0025
Stage 3 = 25, CDLL = -1981.6, AR(2.82; 0.00) = [0.41; 0.71], gam = 0.0164, Max-Change = 0.0033
Stage 3 = 26, CDLL = -1978.9, AR(2.82; 0.00) = [0.44; 0.80], gam = 0.0159, Max-Change = 0.0020
Stage 3 = 27, CDLL = -1977.6, AR(2.82; 0.00) = [0.41; 0.71], gam = 0.0154, Max-Change = 0.0011
Stage 3 = 28, CDLL = -1978.4, AR(2.82; 0.00) = [0.40; 0.73], gam = 0.0150, Max-Change = 0.0030
Stage 3 = 29, CDLL = -1969.3, AR(2.82; 0.00) = [0.40; 0.78], gam = 0.0146, Max-Change = 0.0009
Stage 3 = 30, CDLL = -1973.4, AR(2.82; 0.00) = [0.45; 0.76], gam = 0.0142, Max-Change = 0.0022
Stage 3 = 31, CDLL = -1995.8, AR(2.82; 0.00) = [0.39; 0.59], gam = 0.0139, Max-Change = 0.0029
Stage 3 = 32, CDLL = -1983.6, AR(2.82; 0.00) = [0.43; 0.73], gam = 0.0135, Max-Change = 0.0014
Stage 3 = 33, CDLL = -1979.1, AR(2.82; 0.00) = [0.38; 0.73], gam = 0.0132, Max-Change = 0.0010
Stage 3 = 34, CDLL = -1983.0, AR(2.82; 0.00) = [0.40; 0.65], gam = 0.0129, Max-Change = 0.0010
Stage 3 = 35, CDLL = -1985.6, AR(2.82; 0.00) = [0.37; 0.69], gam = 0.0126, Max-Change = 0.0017
Stage 3 = 36, CDLL = -1983.4, AR(2.82; 0.00) = [0.37; 0.69], gam = 0.0124, Max-Change = 0.0010
Stage 3 = 37, CDLL = -1976.5, AR(2.82; 0.00) = [0.37; 0.67], gam = 0.0121, Max-Change = 0.0014
Stage 3 = 38, CDLL = -1996.1, AR(2.82; 0.00) = [0.42; 0.57], gam = 0.0119, Max-Change = 0.0025
Stage 3 = 39, CDLL = -1978.1, AR(2.82; 0.00) = [0.42; 0.67], gam = 0.0116, Max-Change = 0.0012
Stage 3 = 40, CDLL = -2001.4, AR(2.82; 0.00) = [0.43; 0.65], gam = 0.0114, Max-Change = 0.0010
Stage 3 = 41, CDLL = -1977.5, AR(2.82; 0.00) = [0.47; 0.76], gam = 0.0112, Max-Change = 0.0003
Stage 3 = 42, CDLL = -2003.2, AR(2.82; 0.00) = [0.42; 0.63], gam = 0.0110, Max-Change = 0.0009
#>
#> Calculating information matrix...
#>
#> Calculating log-likelihood...
summary(mod)
#>
#> Call:
#> mixedmirt(data = Science, covdata = covdat, model = 1, random = ~1 |
#> group)
#>
#>
#> --------------
#> RANDOM EFFECT COVARIANCE(S):
#> Correlations on upper diagonal
#>
#> $Theta
#> F1
#> F1 0.95
#>
#> $group
#> COV_group
#> COV_group 0.0185
#>
effects <- randef(mod, ndraws = 2000, thin = 20)
head(effects$Theta)
#> F1
#> [1,] 0.48197807
#> [2,] 0.03653896
#> [3,] -0.59698908
#> [4,] -0.55028232
#> [5,] 0.01818210
#> [6,] 0.98846304
head(effects$group)
#> group
#> group1 -0.006038676
#> group2 -0.010929591
#> group3 0.029420936
#> group4 -0.026108230
#> group5 -0.017651557
#> group6 -0.057278769
# }