This function calculates the similarity between the mental models of of users, either among all users or among groups of users.
Arguments
- mentalmodel
A mtoolr object with models from multiple users (therefore not an aggregated object)
- method
The method to calculate similarity between mental models of users. At the moment, this defaults to "gower". Other options are "simple_overlap" and "jaccard".
- group_var
A character string giving the name of a (preferably factor) variable in the user data to create groups of users. For each group of users, a similarity matrix is calculated. All matrices are returned in a list.
- output
Either "matrix" or "tibble". If "matrix, a similarity matrix is returned. If "tibble" a tibble dataframe of pairs of users with similarities is returned. Defaults to "matrix"
Value
If no group_var is supplied a similarity matrix or tibble, depending on output chosen. If a group_var is supplied a list of similarity matrices for each level of the grouping variable.
Examples
# get gower similarity between mental models of all users
gower_sim_mat <- get_model_sims(example_models)
gower_sim_mat
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c 1.00000000
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225 0.00000000
#> e666b731-3781-4cc5-9bcb-cf683468ab48 0.03571429
#> 10ecf726-69a7-48c9-9494-faa951cfddb5 0.05882353
#> 8ab84278-f345-4c06-abdc-3defa589635b 0.05555556
#> 8a770b29-a8e3-423a-b35f-9484fb91215f 0.00000000
#> d6fd9156-10e3-4122-9094-1031230bd3e8 0.11764706
#> b958c876-dbdc-4b91-9532-aba2ffb49831 0.00000000
#> fd3490ab-badc-4b82-880f-fdbd23321b7a 0.04347826
#> e3767096-8b09-4c04-870c-e4a27cc7d359 0.10526316
#> 249711de-4e53-46a5-a6f3-8a64d057d1c0 0.00000000
#> 6f5873ab-f3f7-46cf-a3da-b7e4f6e5f38c 0.00000000
#> 3db53adc-5091-4f53-8dc6-75b2981c7f74 0.00000000
#> c2794e78-f474-4b47-b536-69d8eea28572 0.00000000
#> aa9961a2-4612-4f2c-a0f7-d2970d45db9f 0.00000000
#> da61c7d7-0681-43c4-b309-f9b587fec0c0 0.05000000
#> 5c1d0822-f123-47e0-9888-506b33292274 0.00000000
#> 678d7690-58f6-466b-b9b1-884241a08c26 0.05000000
#> 096fc61c-31d1-460f-a80e-d9ef9ea163f7 0.00000000
#> ca8085e1-88fa-462f-8f66-9806dab84fbb 0.07692308
#> d6fbc14d-192d-4d1d-823d-c86b6ee52323 0.02857143
#> b29bd5fb-437f-40b4-be61-2080e52f3569 0.00000000
#> a2f8042e-6368-433c-89a0-2d88c52c6525 0.04545455
#> baa97cfe-6fa5-4b9c-84c6-cbe6c2226a26 0.00000000
#> 5fdf5459-a756-40d0-9b97-3756d8267da2 0.00000000
#> 54881284-1b02-4b3f-ae77-053c137e6248 0.00000000
#> 4740a85d-ff80-41c8-bc69-1bb03e942b6c 0.00000000
#> 15b0ef09-c617-4423-9f5c-b279b3ebfa31 0.06666667
#> 5b61d8dc-1a4f-48f2-8292-a00127c028db 0.07692308
#> 8e73722e-d9d2-4bc2-96b6-2dd1943efae7 0.00000000
#> 0f8b2831-6300-4933-be3c-b88f2b576fbf 0.00000000
#> 0e0747b9-0e4b-4a9f-899d-b40c40529491 0.00000000
#> 63be5401-9995-48bc-a79b-89eb0d23cb60 0.00000000
#> 7f77e9b8-cdf3-4905-9dd0-4d8f894ad9c8 0.00000000
#> 5d74dd99-17cf-4b31-97bb-5bef682c0699 0.00000000
#> 2a273314-76b5-43a0-981f-17da36717db7 0.00000000
#> bc9298c2-68f2-40ae-bc54-312d1ff030c9 0.00000000
#> e17f7edd-74c8-4d58-8adb-1040685b9557 0.00000000
#> c40610ea-0f3f-453f-a3e1-4eedf920f19c 0.00000000
#> 5444b749-8abc-499d-9f7a-69243ede8241 0.00000000
#> 10d933a6-5204-4acd-a23a-b37c5a00d3d3 0.00000000
#> f1998b71-1a91-441c-b774-fe7ea84bd53f 0.00000000
#> 0396c224-7496-4fa0-a58a-79bca24ea01c 0.00000000
#> cbc68d75-23b8-4fef-9cef-c71fa9f7f088 0.00000000
#> abdac19a-ecb3-49b9-a42f-431334559394 0.00000000
#> 8603ea77-7115-4ed1-bcab-ffff206d8347 0.00000000
#> 440251d2-757d-4a81-bfda-1a7fdc1f936d 0.00000000
#> 199385bf-f2bd-42c9-8451-df8b8843d53b 0.00000000
#> 843a23bd-79bd-4970-9697-dca89efcdc27 0.00000000
#> 4405763a-cdd5-4494-936c-9aa292a07d48 0.00000000
#> 60bfbbb8-7ec2-4817-b424-8c589683e3c8 0.00000000
#> fcef9621-0e51-46a0-afde-dc27c74ccb9d 0.00000000
#> 40e24956-23b5-4f56-b941-089bb877311d 0.00000000
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c 0.00000000
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225 1.00000000
#> e666b731-3781-4cc5-9bcb-cf683468ab48 0.05714286
#> 10ecf726-69a7-48c9-9494-faa951cfddb5 0.00000000
#> 8ab84278-f345-4c06-abdc-3defa589635b 0.04000000
#> 8a770b29-a8e3-423a-b35f-9484fb91215f 0.00000000
#> d6fd9156-10e3-4122-9094-1031230bd3e8 0.00000000
#> b958c876-dbdc-4b91-9532-aba2ffb49831 0.00000000
#> fd3490ab-badc-4b82-880f-fdbd23321b7a 0.03448276
#> e3767096-8b09-4c04-870c-e4a27cc7d359 0.00000000
#> 249711de-4e53-46a5-a6f3-8a64d057d1c0 0.00000000
#> 6f5873ab-f3f7-46cf-a3da-b7e4f6e5f38c 0.00000000
#> 3db53adc-5091-4f53-8dc6-75b2981c7f74 0.04347826
#> c2794e78-f474-4b47-b536-69d8eea28572 0.03703704
#> aa9961a2-4612-4f2c-a0f7-d2970d45db9f 0.00000000
#> da61c7d7-0681-43c4-b309-f9b587fec0c0 0.03571429
#> 5c1d0822-f123-47e0-9888-506b33292274 0.00000000
#> 678d7690-58f6-466b-b9b1-884241a08c26 0.03703704
#> 096fc61c-31d1-460f-a80e-d9ef9ea163f7 0.00000000
#> ca8085e1-88fa-462f-8f66-9806dab84fbb 0.10526316
#> d6fbc14d-192d-4d1d-823d-c86b6ee52323 0.02380952
#> b29bd5fb-437f-40b4-be61-2080e52f3569 0.00000000
#> a2f8042e-6368-433c-89a0-2d88c52c6525 0.10000000
#> baa97cfe-6fa5-4b9c-84c6-cbe6c2226a26 0.00000000
#> 5fdf5459-a756-40d0-9b97-3756d8267da2 0.00000000
#> 54881284-1b02-4b3f-ae77-053c137e6248 0.00000000
#> 4740a85d-ff80-41c8-bc69-1bb03e942b6c 0.04000000
#> 15b0ef09-c617-4423-9f5c-b279b3ebfa31 0.04545455
#> 5b61d8dc-1a4f-48f2-8292-a00127c028db 0.05263158
#> 8e73722e-d9d2-4bc2-96b6-2dd1943efae7 0.00000000
#> 0f8b2831-6300-4933-be3c-b88f2b576fbf 0.00000000
#> 0e0747b9-0e4b-4a9f-899d-b40c40529491 0.00000000
#> 63be5401-9995-48bc-a79b-89eb0d23cb60 0.00000000
#> 7f77e9b8-cdf3-4905-9dd0-4d8f894ad9c8 0.00000000
#> 5d74dd99-17cf-4b31-97bb-5bef682c0699 0.00000000
#> 2a273314-76b5-43a0-981f-17da36717db7 0.07142857
#> bc9298c2-68f2-40ae-bc54-312d1ff030c9 0.00000000
#> e17f7edd-74c8-4d58-8adb-1040685b9557 0.00000000
#> c40610ea-0f3f-453f-a3e1-4eedf920f19c 0.00000000
#> 5444b749-8abc-499d-9f7a-69243ede8241 0.00000000
#> 10d933a6-5204-4acd-a23a-b37c5a00d3d3 0.00000000
#> f1998b71-1a91-441c-b774-fe7ea84bd53f 0.00000000
#> 0396c224-7496-4fa0-a58a-79bca24ea01c 0.00000000
#> cbc68d75-23b8-4fef-9cef-c71fa9f7f088 0.00000000
#> abdac19a-ecb3-49b9-a42f-431334559394 0.00000000
#> 8603ea77-7115-4ed1-bcab-ffff206d8347 0.00000000
#> 440251d2-757d-4a81-bfda-1a7fdc1f936d 0.00000000
#> 199385bf-f2bd-42c9-8451-df8b8843d53b 0.00000000
#> 843a23bd-79bd-4970-9697-dca89efcdc27 0.00000000
#> 4405763a-cdd5-4494-936c-9aa292a07d48 0.00000000
#> 60bfbbb8-7ec2-4817-b424-8c589683e3c8 0.00000000
#> fcef9621-0e51-46a0-afde-dc27c74ccb9d 0.00000000
#> 40e24956-23b5-4f56-b941-089bb877311d 0.00000000
#> e666b731-3781-4cc5-9bcb-cf683468ab48
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c 0.03571429
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225 0.05714286
#> e666b731-3781-4cc5-9bcb-cf683468ab48 1.00000000
#> 10ecf726-69a7-48c9-9494-faa951cfddb5 0.05714286
#> 8ab84278-f345-4c06-abdc-3defa589635b 0.05882353
#> 8a770b29-a8e3-423a-b35f-9484fb91215f 0.02941176
#> d6fd9156-10e3-4122-9094-1031230bd3e8 0.03125000
#> b958c876-dbdc-4b91-9532-aba2ffb49831 0.00000000
#> fd3490ab-badc-4b82-880f-fdbd23321b7a 0.15151515
#> e3767096-8b09-4c04-870c-e4a27cc7d359 0.09677419
#> 249711de-4e53-46a5-a6f3-8a64d057d1c0 0.00000000
#> 6f5873ab-f3f7-46cf-a3da-b7e4f6e5f38c 0.06250000
#> 3db53adc-5091-4f53-8dc6-75b2981c7f74 0.03030303
#> c2794e78-f474-4b47-b536-69d8eea28572 0.02857143
#> aa9961a2-4612-4f2c-a0f7-d2970d45db9f 0.00000000
#> da61c7d7-0681-43c4-b309-f9b587fec0c0 0.09090909
#> 5c1d0822-f123-47e0-9888-506b33292274 0.03333333
#> 678d7690-58f6-466b-b9b1-884241a08c26 0.03030303
#> 096fc61c-31d1-460f-a80e-d9ef9ea163f7 0.00000000
#> ca8085e1-88fa-462f-8f66-9806dab84fbb 0.15384615
#> d6fbc14d-192d-4d1d-823d-c86b6ee52323 0.09090909
#> b29bd5fb-437f-40b4-be61-2080e52f3569 0.00000000
#> a2f8042e-6368-433c-89a0-2d88c52c6525 0.05714286
#> baa97cfe-6fa5-4b9c-84c6-cbe6c2226a26 0.00000000
#> 5fdf5459-a756-40d0-9b97-3756d8267da2 0.00000000
#> 54881284-1b02-4b3f-ae77-053c137e6248 0.00000000
#> 4740a85d-ff80-41c8-bc69-1bb03e942b6c 0.09375000
#> 15b0ef09-c617-4423-9f5c-b279b3ebfa31 0.17241379
#> 5b61d8dc-1a4f-48f2-8292-a00127c028db 0.03571429
#> 8e73722e-d9d2-4bc2-96b6-2dd1943efae7 0.00000000
#> 0f8b2831-6300-4933-be3c-b88f2b576fbf 0.00000000
#> 0e0747b9-0e4b-4a9f-899d-b40c40529491 0.00000000
#> 63be5401-9995-48bc-a79b-89eb0d23cb60 0.00000000
#> 7f77e9b8-cdf3-4905-9dd0-4d8f894ad9c8 0.00000000
#> 5d74dd99-17cf-4b31-97bb-5bef682c0699 0.00000000
#> 2a273314-76b5-43a0-981f-17da36717db7 0.00000000
#> bc9298c2-68f2-40ae-bc54-312d1ff030c9 0.00000000
#> e17f7edd-74c8-4d58-8adb-1040685b9557 0.04166667
#> c40610ea-0f3f-453f-a3e1-4eedf920f19c 0.00000000
#> 5444b749-8abc-499d-9f7a-69243ede8241 0.00000000
#> 10d933a6-5204-4acd-a23a-b37c5a00d3d3 0.04166667
#> f1998b71-1a91-441c-b774-fe7ea84bd53f 0.00000000
#> 0396c224-7496-4fa0-a58a-79bca24ea01c 0.00000000
#> cbc68d75-23b8-4fef-9cef-c71fa9f7f088 0.04166667
#> abdac19a-ecb3-49b9-a42f-431334559394 0.00000000
#> 8603ea77-7115-4ed1-bcab-ffff206d8347 0.00000000
#> 440251d2-757d-4a81-bfda-1a7fdc1f936d 0.00000000
#> 199385bf-f2bd-42c9-8451-df8b8843d53b 0.00000000
#> 843a23bd-79bd-4970-9697-dca89efcdc27 0.00000000
#> 4405763a-cdd5-4494-936c-9aa292a07d48 0.00000000
#> 60bfbbb8-7ec2-4817-b424-8c589683e3c8 0.00000000
#> fcef9621-0e51-46a0-afde-dc27c74ccb9d 0.00000000
#> 40e24956-23b5-4f56-b941-089bb877311d 0.00000000
#> 10ecf726-69a7-48c9-9494-faa951cfddb5
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c 0.05882353
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225 0.00000000
#> e666b731-3781-4cc5-9bcb-cf683468ab48 0.05714286
#> 10ecf726-69a7-48c9-9494-faa951cfddb5 1.00000000
#> 8ab84278-f345-4c06-abdc-3defa589635b 0.04166667
#> 8a770b29-a8e3-423a-b35f-9484fb91215f 0.04347826
#> d6fd9156-10e3-4122-9094-1031230bd3e8 0.00000000
#> b958c876-dbdc-4b91-9532-aba2ffb49831 0.00000000
#> fd3490ab-badc-4b82-880f-fdbd23321b7a 0.03448276
#> e3767096-8b09-4c04-870c-e4a27cc7d359 0.12000000
#> 249711de-4e53-46a5-a6f3-8a64d057d1c0 0.00000000
#> 6f5873ab-f3f7-46cf-a3da-b7e4f6e5f38c 0.00000000
#> 3db53adc-5091-4f53-8dc6-75b2981c7f74 0.00000000
#> c2794e78-f474-4b47-b536-69d8eea28572 0.07142857
#> aa9961a2-4612-4f2c-a0f7-d2970d45db9f 0.00000000
#> da61c7d7-0681-43c4-b309-f9b587fec0c0 0.00000000
#> 5c1d0822-f123-47e0-9888-506b33292274 0.00000000
#> 678d7690-58f6-466b-b9b1-884241a08c26 0.03571429
#> 096fc61c-31d1-460f-a80e-d9ef9ea163f7 0.00000000
#> ca8085e1-88fa-462f-8f66-9806dab84fbb 0.11111111
#> d6fbc14d-192d-4d1d-823d-c86b6ee52323 0.07317073
#> b29bd5fb-437f-40b4-be61-2080e52f3569 0.00000000
#> a2f8042e-6368-433c-89a0-2d88c52c6525 0.00000000
#> baa97cfe-6fa5-4b9c-84c6-cbe6c2226a26 0.00000000
#> 5fdf5459-a756-40d0-9b97-3756d8267da2 0.00000000
#> 54881284-1b02-4b3f-ae77-053c137e6248 0.00000000
#> 4740a85d-ff80-41c8-bc69-1bb03e942b6c 0.00000000
#> 15b0ef09-c617-4423-9f5c-b279b3ebfa31 0.08695652
#> 5b61d8dc-1a4f-48f2-8292-a00127c028db 0.00000000
#> 8e73722e-d9d2-4bc2-96b6-2dd1943efae7 0.00000000
#> 0f8b2831-6300-4933-be3c-b88f2b576fbf 0.00000000
#> 0e0747b9-0e4b-4a9f-899d-b40c40529491 0.07142857
#> 63be5401-9995-48bc-a79b-89eb0d23cb60 0.00000000
#> 7f77e9b8-cdf3-4905-9dd0-4d8f894ad9c8 0.00000000
#> 5d74dd99-17cf-4b31-97bb-5bef682c0699 0.00000000
#> 2a273314-76b5-43a0-981f-17da36717db7 0.00000000
#> bc9298c2-68f2-40ae-bc54-312d1ff030c9 0.00000000
#> e17f7edd-74c8-4d58-8adb-1040685b9557 0.00000000
#> c40610ea-0f3f-453f-a3e1-4eedf920f19c 0.00000000
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#> f1998b71-1a91-441c-b774-fe7ea84bd53f 0.00000000
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#> 4405763a-cdd5-4494-936c-9aa292a07d48 0.00000000
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#> 40e24956-23b5-4f56-b941-089bb877311d 0.00000000
#> 8ab84278-f345-4c06-abdc-3defa589635b
#> d20f0ed5-da33-4e99-804e-39fb03cf8f3c 0.05555556
#> ad84c4ed-b73e-4ba2-8e1f-edbe365bb225 0.04000000
#> e666b731-3781-4cc5-9bcb-cf683468ab48 0.05882353
#> 10ecf726-69a7-48c9-9494-faa951cfddb5 0.04166667
#> 8ab84278-f345-4c06-abdc-3defa589635b 1.00000000
#> 8a770b29-a8e3-423a-b35f-9484fb91215f 0.00000000
#> d6fd9156-10e3-4122-9094-1031230bd3e8 0.04545455
#> b958c876-dbdc-4b91-9532-aba2ffb49831 0.00000000
#> fd3490ab-badc-4b82-880f-fdbd23321b7a 0.10344828
#> e3767096-8b09-4c04-870c-e4a27cc7d359 0.00000000
#> 249711de-4e53-46a5-a6f3-8a64d057d1c0 0.00000000
#> 6f5873ab-f3f7-46cf-a3da-b7e4f6e5f38c 0.04166667
#> 3db53adc-5091-4f53-8dc6-75b2981c7f74 0.04545455
#> c2794e78-f474-4b47-b536-69d8eea28572 0.00000000
#> aa9961a2-4612-4f2c-a0f7-d2970d45db9f 0.00000000
#> da61c7d7-0681-43c4-b309-f9b587fec0c0 0.00000000
#> 5c1d0822-f123-47e0-9888-506b33292274 0.04545455
#> 678d7690-58f6-466b-b9b1-884241a08c26 0.03846154
#> 096fc61c-31d1-460f-a80e-d9ef9ea163f7 0.00000000
#> ca8085e1-88fa-462f-8f66-9806dab84fbb 0.10526316
#> d6fbc14d-192d-4d1d-823d-c86b6ee52323 0.04878049
#> b29bd5fb-437f-40b4-be61-2080e52f3569 0.04545455
#> a2f8042e-6368-433c-89a0-2d88c52c6525 0.07142857
#> baa97cfe-6fa5-4b9c-84c6-cbe6c2226a26 0.00000000
#> 5fdf5459-a756-40d0-9b97-3756d8267da2 0.00000000
#> 54881284-1b02-4b3f-ae77-053c137e6248 0.00000000
#> 4740a85d-ff80-41c8-bc69-1bb03e942b6c 0.04166667
#> 15b0ef09-c617-4423-9f5c-b279b3ebfa31 0.00000000
#> 5b61d8dc-1a4f-48f2-8292-a00127c028db 0.10526316
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# simulate user data to add
user_df <- data.frame(id = example_models$user_data$id,var = rnorm(length(example_models$user_data$id)))
user_df$group <- ifelse(user_df$var > 0, "group1","group2")
# add user data
example_models <- example_models |> add_user_data(user_data = user_df,id_key = "id")
# compute similarities by group
gower_sim_mat_list <- get_model_sims(example_models, group_var = "group")