rm(list = ls())
date()
## [1] "Sat Jan 18 13:14:10 2025"
sessionInfo()
## R version 4.4.2 (2024-10-31)
## Platform: x86_64-apple-darwin20
## Running under: macOS Ventura 13.7.2
## 
## Matrix products: default
## BLAS:   /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRblas.0.dylib 
## LAPACK: /Library/Frameworks/R.framework/Versions/4.4-x86_64/Resources/lib/libRlapack.dylib;  LAPACK version 3.12.0
## 
## locale:
## [1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8
## 
## time zone: Europe/Moscow
## tzcode source: internal
## 
## attached base packages:
## [1] stats     graphics  grDevices utils     datasets  methods   base     
## 
## loaded via a namespace (and not attached):
##  [1] digest_0.6.36     R6_2.5.1          fastmap_1.2.0     xfun_0.46        
##  [5] cachem_1.1.0      knitr_1.48        htmltools_0.5.8.1 rmarkdown_2.27   
##  [9] lifecycle_1.0.4   cli_3.6.3         sass_0.4.9        jquerylib_0.1.4  
## [13] compiler_4.4.2    rstudioapi_0.16.0 tools_4.4.2       evaluate_0.24.0  
## [17] bslib_0.7.0       yaml_2.3.9        rlang_1.1.4       jsonlite_1.8.8
options(scipen = 999) # Убирает научную запись чисел

Библиотеки

library(ggplot2)
library(tidyr)
library(dplyr)
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
library(psych)
## 
## Attaching package: 'psych'
## The following objects are masked from 'package:ggplot2':
## 
##     %+%, alpha

Загрузка таблицы

load(file = "Data.RData")

Data2 <- select(Data, !(Age:ResidenceAdult))

Графики

Благополучие

По стране

Data %>% 
        #select(1:13) %>% #Берем только первые 13 колонок
        pivot_longer(cols = starts_with("W_"), names_to = "Variable", values_to = "Value") %>% # Колонки, которые начинаются с "W_"
        
        ggplot(., aes(x = Value, y = EnvIdentity, col = Nationality)) +
        geom_point() +
        geom_smooth(method = 'lm', se = TRUE) + # se -  убирает стандартную ошибку st. error
        facet_grid(cols = vars(Variable)) +
        labs(title = "Well-being", x = "Well-Being", y = "EnvIdentity") +
        theme_light() 
## `geom_smooth()` using formula = 'y ~ x'

Благополучие по полу

Data %>% 
        #select(1:13) %>% #Берем только первые 13 колонок
        pivot_longer(cols = starts_with("W_"), names_to = "Variable", values_to = "Value") %>% # Колонки, которые начинаются с "W_"
        
        ggplot(., aes(x = Value, y = EnvIdentity, col = Sex)) +
        geom_point() +
        geom_smooth(method = 'lm', se = FALSE) + # se -  убирает стандартную ошибку st. error se = FALSE
        facet_grid(cols = vars(Variable)) +
        labs(title = "Well-being", x = "Well-Being", y = "EnvIdentity") +
        theme_light() 
## `geom_smooth()` using formula = 'y ~ x'

Ценности

По стране

Data %>% 
        #select(1:13) %>% #Берем только первые 13 колонок
        pivot_longer(cols = starts_with("V_"), names_to = "Variable", values_to = "Value") %>% # Колонки, которые начинаются с "V_"
        
        ggplot(., aes(x = Value, y = EnvIdentity, col = Nationality)) +
        geom_point() +
        geom_smooth(method = 'lm', se = FALSE) + # se -  убирает стандартную ошибку st. error
        facet_grid(cols = vars(Variable)) +
        labs(title = "Values", x = "Values", y = "EnvIdentity") +
        theme_light() 
## `geom_smooth()` using formula = 'y ~ x'

По полу

Data %>% 
        #select(1:13) %>% #Берем только первые 13 колонок
        pivot_longer(cols = starts_with("V_"), names_to = "Variable", values_to = "Value") %>% # Колонки, которые начинаются с "V_"
        
        ggplot(., aes(x = Value, y = EnvIdentity, col = Sex)) +
        geom_point() +
        geom_smooth(method = 'lm', se = FALSE) + # se -  убирает стандартную ошибку st. error
        facet_grid(cols = vars(Variable)) +
        labs(title = "Values", x = "Values", y = "EnvIdentity") +
        theme_light() 
## `geom_smooth()` using formula = 'y ~ x'

Корреляционная матрица

corPlot(Data[,6:23], stars = TRUE, MAR  = 1, xlas = 2)

Step - поиск модели

EnvIdentity ~ Nationality + Sex + W_PositiveRel + W_Autonomy + W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + WellBeing + V_Conformity + V_tradition + V_benevolence + V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + V_Achievement + V_Power + V_Security

##Все факторы

lm(EnvIdentity ~ ., Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ Nationality + W_Autonomy + V_benevolence + 
##     V_universalism + V_Selfdirection, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -27.4914  -5.9294   0.2515   5.8118  22.1345 
## 
## Coefficients:
##                   Estimate Std. Error t value   Pr(>|t|)    
## (Intercept)        46.4738     9.6637   4.809 0.00000519 ***
## NationalityRussia   8.3964     2.8441   2.952    0.00391 ** 
## W_Autonomy         -0.3478     0.1574  -2.209    0.02935 *  
## V_benevolence       2.6353     1.3870   1.900    0.06022 .  
## V_universalism      5.3193     1.2979   4.098 0.00008313 ***
## V_Selfdirection    -2.2027     1.4232  -1.548    0.12476    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11 on 103 degrees of freedom
## Multiple R-squared:  0.2771, Adjusted R-squared:  0.242 
## F-statistic: 7.896 on 5 and 103 DF,  p-value: 0.000002502

##Все без пола

lm(EnvIdentity ~ Nationality  + W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security

, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ Nationality + W_Autonomy + V_benevolence + 
##     V_universalism + V_Selfdirection, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -27.4914  -5.9294   0.2515   5.8118  22.1345 
## 
## Coefficients:
##                   Estimate Std. Error t value   Pr(>|t|)    
## (Intercept)        46.4738     9.6637   4.809 0.00000519 ***
## NationalityRussia   8.3964     2.8441   2.952    0.00391 ** 
## W_Autonomy         -0.3478     0.1574  -2.209    0.02935 *  
## V_benevolence       2.6353     1.3870   1.900    0.06022 .  
## V_universalism      5.3193     1.2979   4.098 0.00008313 ***
## V_Selfdirection    -2.2027     1.4232  -1.548    0.12476    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11 on 103 degrees of freedom
## Multiple R-squared:  0.2771, Adjusted R-squared:  0.242 
## F-statistic: 7.896 on 5 and 103 DF,  p-value: 0.000002502

##Все без страны

lm(EnvIdentity ~  Sex + W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security

, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ W_PositiveRel + W_Autonomy + W_PersGrowth + 
##     V_benevolence + V_universalism + V_Selfdirection + V_Power + 
##     V_Security, data = Data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -26.279  -5.403  -1.255   6.639  22.688 
## 
## Coefficients:
##                 Estimate Std. Error t value Pr(>|t|)    
## (Intercept)      34.7222    10.9217   3.179  0.00197 ** 
## W_PositiveRel    -0.2382     0.1634  -1.458  0.14797    
## W_Autonomy       -0.2588     0.1582  -1.636  0.10502    
## W_PersGrowth      0.4556     0.1529   2.980  0.00361 ** 
## V_benevolence     2.2434     1.3979   1.605  0.11167    
## V_universalism    4.6865     1.3396   3.499  0.00070 ***
## V_Selfdirection  -2.2173     1.4855  -1.493  0.13869    
## V_Power          -1.0600     0.7710  -1.375  0.17221    
## V_Security        1.5156     1.0659   1.422  0.15818    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.02 on 100 degrees of freedom
## Multiple R-squared:  0.2945, Adjusted R-squared:  0.238 
## F-statistic: 5.217 on 8 and 100 DF,  p-value: 0.00001843

Все с взаимодействием пол*страна

lm(EnvIdentity ~ Nationality * Sex * (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security)
, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ Nationality + Sex + W_PositiveRel + 
##     W_Autonomy + W_EnvMastery + W_PersGrowth + W_PurposeLife + 
##     V_Conformity + V_benevolence + V_universalism + V_Selfdirection + 
##     V_Hedonism + V_Power + V_Security + Nationality:Sex + Nationality:W_PositiveRel + 
##     Nationality:W_Autonomy + Nationality:W_PurposeLife + Nationality:V_Conformity + 
##     Nationality:V_benevolence + Nationality:V_Selfdirection + 
##     Nationality:V_Hedonism + Sex:W_PositiveRel + Sex:W_Autonomy + 
##     Sex:W_PurposeLife + Sex:V_Selfdirection + Sex:V_Hedonism + 
##     Sex:V_Security + Nationality:Sex:W_PositiveRel + Nationality:Sex:V_Selfdirection + 
##     Nationality:Sex:V_Hedonism, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -29.4577  -3.6079   0.1787   5.4925  19.1874 
## 
## Coefficients:
##                                           Estimate Std. Error t value Pr(>|t|)
## (Intercept)                                 9.8743    31.5307   0.313 0.755003
## NationalityRussia                          11.2410    36.1360   0.311 0.756584
## SexMale                                    94.4939    44.2530   2.135 0.035915
## W_PositiveRel                               0.3922     0.4054   0.967 0.336327
## W_Autonomy                                  0.4216     0.3504   1.203 0.232562
## W_EnvMastery                               -0.4751     0.2439  -1.948 0.055036
## W_PersGrowth                                0.3816     0.2622   1.455 0.149638
## W_PurposeLife                              -0.2901     0.2283  -1.271 0.207721
## V_Conformity                                1.8037     2.1641   0.833 0.407154
## V_benevolence                               4.6220     2.1866   2.114 0.037773
## V_universalism                              5.1132     1.3949   3.666 0.000452
## V_Selfdirection                            -6.5751     2.5995  -2.529 0.013471
## V_Hedonism                                  3.3061     1.7649   1.873 0.064832
## V_Power                                    -2.3155     0.8912  -2.598 0.011224
## V_Security                                 -0.8080     1.5027  -0.538 0.592325
## NationalityRussia:SexMale                 -18.7538    50.6171  -0.371 0.712024
## NationalityRussia:W_PositiveRel            -0.4592     0.4769  -0.963 0.338628
## NationalityRussia:W_Autonomy               -0.6518     0.4089  -1.594 0.114994
## NationalityRussia:W_PurposeLife             0.7801     0.3166   2.464 0.015976
## NationalityRussia:V_Conformity              5.4521     2.9455   1.851 0.068008
## NationalityRussia:V_benevolence            -7.5792     3.2128  -2.359 0.020856
## NationalityRussia:V_Selfdirection           5.0932     3.7664   1.352 0.180248
## NationalityRussia:V_Hedonism                0.1551     2.6270   0.059 0.953060
## SexMale:W_PositiveRel                      -1.6438     0.7834  -2.098 0.039161
## SexMale:W_Autonomy                         -0.8274     0.4083  -2.026 0.046194
## SexMale:W_PurposeLife                       0.4968     0.3105   1.600 0.113651
## SexMale:V_Selfdirection                     5.3484     3.6414   1.469 0.145962
## SexMale:V_Hedonism                         -7.7637     3.0858  -2.516 0.013955
## SexMale:V_Security                          3.2621     2.1162   1.541 0.127308
## NationalityRussia:SexMale:W_PositiveRel     1.0067     0.8188   1.229 0.222629
## NationalityRussia:SexMale:V_Selfdirection  -9.9038     5.5641  -1.780 0.079030
## NationalityRussia:SexMale:V_Hedonism        6.4499     4.2479   1.518 0.133015
##                                              
## (Intercept)                                  
## NationalityRussia                            
## SexMale                                   *  
## W_PositiveRel                                
## W_Autonomy                                   
## W_EnvMastery                              .  
## W_PersGrowth                                 
## W_PurposeLife                                
## V_Conformity                                 
## V_benevolence                             *  
## V_universalism                            ***
## V_Selfdirection                           *  
## V_Hedonism                                .  
## V_Power                                   *  
## V_Security                                   
## NationalityRussia:SexMale                    
## NationalityRussia:W_PositiveRel              
## NationalityRussia:W_Autonomy                 
## NationalityRussia:W_PurposeLife           *  
## NationalityRussia:V_Conformity            .  
## NationalityRussia:V_benevolence           *  
## NationalityRussia:V_Selfdirection            
## NationalityRussia:V_Hedonism                 
## SexMale:W_PositiveRel                     *  
## SexMale:W_Autonomy                        *  
## SexMale:W_PurposeLife                        
## SexMale:V_Selfdirection                      
## SexMale:V_Hedonism                        *  
## SexMale:V_Security                           
## NationalityRussia:SexMale:W_PositiveRel      
## NationalityRussia:SexMale:V_Selfdirection .  
## NationalityRussia:SexMale:V_Hedonism         
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.12 on 77 degrees of freedom
## Multiple R-squared:  0.5418, Adjusted R-squared:  0.3573 
## F-statistic: 2.937 on 31 and 77 DF,  p-value: 0.00006898

Все с взаимодействием пол + страна

lm(EnvIdentity ~ Nationality : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    Sex : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security
, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ W_PositiveRel + W_Autonomy + W_EnvMastery + 
##     W_PersGrowth + W_PurposeLife + V_Conformity + V_benevolence + 
##     V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
##     V_Achievement + V_Power + W_EnvMastery:Nationality + V_benevolence:Nationality + 
##     V_Stimulation:Nationality + V_Achievement:Nationality + W_PositiveRel:Sex + 
##     W_Autonomy:Sex + W_PersGrowth:Sex + W_PurposeLife:Sex + V_Hedonism:Sex + 
##     V_Power:Sex, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -28.0945  -6.0592   0.5671   5.6963  19.3593 
## 
## Coefficients:
##                                  Estimate Std. Error t value Pr(>|t|)   
## (Intercept)                     58.012039  17.625649   3.291  0.00145 **
## W_PositiveRel                    0.006831   0.228332   0.030  0.97620   
## W_Autonomy                       0.027647   0.254295   0.109  0.91368   
## W_EnvMastery                    -0.700392   0.255200  -2.744  0.00739 **
## W_PersGrowth                     0.098038   0.294254   0.333  0.73982   
## W_PurposeLife                   -0.166563   0.186134  -0.895  0.37339   
## V_Conformity                     3.818401   1.591056   2.400  0.01858 * 
## V_benevolence                    5.858784   2.059554   2.845  0.00557 **
## V_universalism                   4.048200   1.406086   2.879  0.00504 **
## V_Selfdirection                 -3.972379   1.679431  -2.365  0.02029 * 
## V_Stimulation                   -1.784736   1.246287  -1.432  0.15580   
## V_Hedonism                       3.339069   1.343102   2.486  0.01487 * 
## V_Achievement                   -1.045728   1.592607  -0.657  0.51320   
## V_Power                         -4.020971   1.286262  -3.126  0.00242 **
## W_EnvMastery:NationalityRussia   0.432833   0.204034   2.121  0.03680 * 
## V_benevolence:NationalityRussia -7.477614   2.514506  -2.974  0.00383 **
## V_Stimulation:NationalityRussia  2.330988   1.662958   1.402  0.16464   
## V_Achievement:NationalityRussia  3.902936   2.109337   1.850  0.06774 . 
## W_PositiveRel:SexMale           -0.489528   0.375394  -1.304  0.19574   
## W_Autonomy:SexMale              -0.627866   0.343485  -1.828  0.07107 . 
## W_PersGrowth:SexMale             0.547982   0.320280   1.711  0.09074 . 
## W_PurposeLife:SexMale            0.569176   0.244139   2.331  0.02210 * 
## V_Hedonism:SexMale              -2.745043   1.915181  -1.433  0.15544   
## V_Power:SexMale                  3.317726   1.566000   2.119  0.03704 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.19 on 85 degrees of freedom
## Multiple R-squared:  0.4874, Adjusted R-squared:  0.3487 
## F-statistic: 3.514 on 23 and 85 DF,  p-value: 0.00001265

Все с взаимодействием страна

lm(EnvIdentity ~ Nationality * (Sex + W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security)
, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ Nationality + Sex + W_Autonomy + W_PurposeLife + 
##     V_benevolence + V_universalism + V_Power + V_Security + Nationality:Sex + 
##     Nationality:W_Autonomy + Nationality:W_PurposeLife + Nationality:V_benevolence + 
##     Nationality:V_Power, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -30.1457  -6.1668  -0.3201   6.4459  22.8636 
## 
## Coefficients:
##                                 Estimate Std. Error t value Pr(>|t|)   
## (Intercept)                      32.3213    18.7704   1.722  0.08834 . 
## NationalityRussia                13.9902    23.1531   0.604  0.54712   
## SexMale                          -3.8839     2.9100  -1.335  0.18517   
## W_Autonomy                        0.1252     0.3080   0.407  0.68524   
## W_PurposeLife                    -0.2787     0.1474  -1.891  0.06167 . 
## V_benevolence                     3.0434     1.7133   1.776  0.07887 . 
## V_universalism                    3.9805     1.2557   3.170  0.00205 **
## V_Power                          -2.9982     1.0605  -2.827  0.00573 **
## V_Security                        2.2732     1.1119   2.044  0.04367 * 
## NationalityRussia:SexMale         8.4953     4.7396   1.792  0.07625 . 
## NationalityRussia:W_Autonomy     -0.7192     0.3791  -1.897  0.06085 . 
## NationalityRussia:W_PurposeLife   0.5842     0.2490   2.346  0.02103 * 
## NationalityRussia:V_benevolence  -3.0114     2.1643  -1.391  0.16736   
## NationalityRussia:V_Power         2.9401     1.4154   2.077  0.04049 * 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.57 on 95 degrees of freedom
## Multiple R-squared:  0.3842, Adjusted R-squared:  0.2999 
## F-statistic:  4.56 on 13 and 95 DF,  p-value: 0.000005199

Все с взаимодействием пол

lm(EnvIdentity ~ Sex * (Nationality + W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security)
, Data2) %>% 
        step(direction = "both", steps = 1000000, trace = 0) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ Sex + Nationality + W_PositiveRel + 
##     W_Autonomy + W_PurposeLife + V_Conformity + V_universalism + 
##     V_Power + Sex:Nationality + Sex:W_PositiveRel + Sex:W_Autonomy + 
##     Sex:W_PurposeLife, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -26.7975  -5.9185   0.7032   7.1128  20.4659 
## 
## Coefficients:
##                           Estimate Std. Error t value  Pr(>|t|)    
## (Intercept)               46.66680   12.89172   3.620  0.000473 ***
## SexMale                   38.06551   22.84752   1.666  0.098960 .  
## NationalityRussia          6.71984    3.39313   1.980  0.050518 .  
## W_PositiveRel              0.10338    0.22083   0.468  0.640746    
## W_Autonomy                -0.09425    0.23840  -0.395  0.693466    
## W_PurposeLife             -0.31613    0.16883  -1.872  0.064181 .  
## V_Conformity               3.62655    1.32331   2.741  0.007316 ** 
## V_universalism             4.75743    1.12230   4.239 0.0000516 ***
## V_Power                   -2.24012    0.81389  -2.752  0.007075 ** 
## SexMale:NationalityRussia 13.31710    5.77925   2.304  0.023362 *  
## SexMale:W_PositiveRel     -0.80955    0.34870  -2.322  0.022366 *  
## SexMale:W_Autonomy        -0.72919    0.35306  -2.065  0.041586 *  
## SexMale:W_PurposeLife      0.64801    0.25057   2.586  0.011207 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.59 on 96 degrees of freedom
## Multiple R-squared:  0.3752, Adjusted R-squared:  0.2971 
## F-statistic: 4.804 on 12 and 96 DF,  p-value: 0.000004006

Модель

Задаем полную и минимальную модель

start_model <- lm(EnvIdentity ~ 1, data = Data2)

start_model_1 <- lm(EnvIdentity ~ V_Power:Nationality, data = Data2)

start_model_2 <- lm(EnvIdentity ~ Nationality : (W_PersGrowth + W_PurposeLife + V_Power)
                    , data = Data2)


full_model <- lm(EnvIdentity ~ Nationality : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    Sex : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security, data = Data2)


full_model_1 <- lm(EnvIdentity ~ Sex + Nationality + Nationality : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    Sex : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security, data = Data2)

full_model_1N <- lm(EnvIdentity ~ Nationality + Nationality : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    Sex : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security, data = Data2)

full_model_1S <- lm(EnvIdentity ~ Sex + Nationality : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    Sex : (W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security) +
    
    W_PositiveRel + W_Autonomy + 
    W_EnvMastery + W_PersGrowth + W_PurposeLife + W_SelfAcceptance + 
    WellBeing + V_Conformity + V_tradition + V_benevolence + 
    V_universalism + V_Selfdirection + V_Stimulation + V_Hedonism + 
    V_Achievement + V_Power + V_Security, data = Data2)

“forward”

Поиск моделей в направлении “forward”

step(start_model, scope = list(lower = start_model, upper = full_model), direction = "forward") %>% 
        summary()
## Start:  AIC=553.85
## EnvIdentity ~ 1
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3359.8 13866 532.20
## + V_benevolence     1    2063.5 15162 541.94
## + V_Conformity      1    1136.8 16089 548.40
## + V_tradition       1    1129.1 16097 548.46
## + V_Security        1    1068.7 16157 548.86
## + V_Selfdirection   1     742.5 16483 551.04
## <none>                          17226 553.85
## + V_Achievement     1     217.8 17008 554.46
## + V_Hedonism        1     210.1 17016 554.51
## + W_Autonomy        1     189.4 17036 554.64
## + V_Stimulation     1     173.4 17052 554.74
## + W_SelfAcceptance  1     145.6 17080 554.92
## + W_EnvMastery      1      88.4 17137 555.28
## + W_PersGrowth      1      82.7 17143 555.32
## + V_Power           1      63.4 17162 555.44
## + W_PositiveRel     1      63.3 17162 555.44
## + WellBeing         1       7.0 17219 555.80
## + W_PurposeLife     1       4.9 17221 555.81
## 
## Step:  AIC=532.2
## EnvIdentity ~ V_universalism
## 
##                              Df Sum of Sq   RSS    AIC
## + V_universalism:Sex          1   299.676 13566 531.81
## + W_PersGrowth                1   294.195 13572 531.86
## + V_universalism:Nationality  1   265.546 13600 532.09
## <none>                                    13866 532.20
## + V_benevolence               1   144.606 13721 533.05
## + W_PurposeLife               1    95.261 13771 533.44
## + V_Stimulation               1    80.701 13785 533.56
## + V_Security                  1    79.682 13786 533.57
## + V_Selfdirection             1    76.249 13790 533.59
## + V_Power                     1    71.691 13794 533.63
## + W_Autonomy                  1    60.408 13805 533.72
## + W_SelfAcceptance            1    51.447 13814 533.79
## + V_tradition                 1    46.258 13820 533.83
## + V_Conformity                1    44.186 13822 533.85
## + W_EnvMastery                1    31.016 13835 533.95
## + W_PositiveRel               1    25.092 13841 534.00
## + V_Hedonism                  1     8.175 13858 534.13
## + WellBeing                   1     3.096 13863 534.17
## + V_Achievement               1     0.042 13866 534.20
## 
## Step:  AIC=531.81
## EnvIdentity ~ V_universalism + V_universalism:Sex
## 
##                              Df Sum of Sq   RSS    AIC
## + V_universalism:Nationality  1   257.476 13309 531.73
## + W_PersGrowth                1   248.933 13317 531.80
## <none>                                    13566 531.81
## + V_benevolence               1   149.748 13416 532.60
## + V_Security                  1   111.153 13455 532.92
## + V_Power                     1   100.335 13466 533.01
## + W_PurposeLife               1    70.605 13496 533.25
## + V_Stimulation               1    57.711 13508 533.35
## + V_tradition                 1    46.276 13520 533.44
## + V_Conformity                1    40.499 13526 533.49
## + V_Selfdirection             1    31.915 13534 533.56
## + W_Autonomy                  1    20.663 13546 533.65
## + W_SelfAcceptance            1    17.853 13548 533.67
## + W_EnvMastery                1    15.190 13551 533.69
## + W_PositiveRel               1    14.980 13551 533.69
## + V_Hedonism                  1     9.895 13556 533.73
## + V_Achievement               1     0.189 13566 533.81
## + WellBeing                   1     0.117 13566 533.81
## 
## Step:  AIC=531.73
## EnvIdentity ~ V_universalism + V_universalism:Sex + V_universalism:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + W_Autonomy        1    338.14 12970 530.92
## <none>                          13309 531.73
## + V_benevolence     1    225.39 13083 531.86
## + WellBeing         1    172.71 13136 532.30
## + V_tradition       1    170.17 13138 532.32
## + V_Security        1    130.05 13179 532.66
## + W_PositiveRel     1    102.54 13206 532.88
## + W_PurposeLife     1     98.67 13210 532.91
## + V_Power           1     98.42 13210 532.92
## + V_Conformity      1     91.65 13217 532.97
## + W_EnvMastery      1     81.22 13228 533.06
## + W_SelfAcceptance  1     46.31 13262 533.35
## + V_Selfdirection   1     41.64 13267 533.38
## + V_Hedonism        1     19.94 13289 533.56
## + W_PersGrowth      1     18.30 13290 533.58
## + V_Stimulation     1     15.54 13293 533.60
## + V_Achievement     1      0.01 13309 533.73
## 
## Step:  AIC=530.92
## EnvIdentity ~ V_universalism + W_Autonomy + V_universalism:Sex + 
##     V_universalism:Nationality
## 
##                          Df Sum of Sq   RSS    AIC
## + V_benevolence           1   237.902 12733 530.90
## <none>                                12970 530.92
## + V_tradition             1   212.262 12758 531.12
## + V_Conformity            1   155.364 12815 531.61
## + V_Power                 1   106.662 12864 532.02
## + W_PersGrowth            1    78.361 12892 532.26
## + V_Security              1    71.825 12899 532.32
## + W_PurposeLife           1    67.856 12903 532.35
## + V_Selfdirection         1    53.469 12917 532.47
## + W_PositiveRel           1    49.032 12922 532.51
## + V_Stimulation           1    31.987 12938 532.65
## + WellBeing               1    29.451 12941 532.67
## + W_Autonomy:Nationality  1    20.949 12950 532.74
## + W_SelfAcceptance        1    17.079 12954 532.78
## + W_EnvMastery            1    10.354 12960 532.83
## + W_Autonomy:Sex          1     1.913 12969 532.90
## + V_Achievement           1     0.455 12970 532.92
## + V_Hedonism              1     0.388 12970 532.92
## 
## Step:  AIC=530.9
## EnvIdentity ~ V_universalism + W_Autonomy + V_benevolence + V_universalism:Sex + 
##     V_universalism:Nationality
## 
##                             Df Sum of Sq   RSS    AIC
## <none>                                   12733 530.90
## + V_Selfdirection            1   179.025 12554 531.36
## + V_Power                    1   159.910 12573 531.53
## + V_tradition                1   109.967 12623 531.96
## + W_PurposeLife              1   101.367 12631 532.03
## + W_PositiveRel              1    91.607 12641 532.12
## + WellBeing                  1    83.689 12649 532.18
## + V_Stimulation              1    75.014 12658 532.26
## + W_SelfAcceptance           1    60.264 12672 532.39
## + W_PersGrowth               1    50.222 12682 532.47
## + V_Achievement              1    49.578 12683 532.48
## + V_benevolence:Sex          1    42.491 12690 532.54
## + V_Conformity               1    40.374 12692 532.56
## + W_EnvMastery               1    34.482 12698 532.61
## + V_benevolence:Nationality  1    31.074 12702 532.64
## + V_Security                 1    25.887 12707 532.68
## + W_Autonomy:Sex             1    23.884 12709 532.70
## + W_Autonomy:Nationality     1    20.894 12712 532.72
## + V_Hedonism                 1     5.654 12727 532.85
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + W_Autonomy + V_benevolence + 
##     V_universalism:Sex + V_universalism:Nationality, data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -28.4955  -6.1408   0.0724   6.3700  20.7577 
## 
## Coefficients:
##                                  Estimate Std. Error t value  Pr(>|t|)    
## (Intercept)                       44.1388     9.7930   4.507 0.0000174 ***
## V_universalism                     3.8811     1.2019   3.229   0.00167 ** 
## W_Autonomy                        -0.2771     0.1645  -1.684   0.09517 .  
## V_benevolence                      1.8246     1.3153   1.387   0.16836    
## V_universalism:SexMale            -0.4890     0.4538  -1.078   0.28375    
## V_universalism:NationalityRussia   1.3442     0.5769   2.330   0.02175 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.12 on 103 degrees of freedom
## Multiple R-squared:  0.2608, Adjusted R-squared:  0.225 
## F-statistic: 7.269 on 5 and 103 DF,  p-value: 0.00000723

“both”

Поиск моделей в направлении “both”

step(start_model, scope = list(lower = start_model, upper = full_model), direction = "both") %>% 
        summary()
## Start:  AIC=553.85
## EnvIdentity ~ 1
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3359.8 13866 532.20
## + V_benevolence     1    2063.5 15162 541.94
## + V_Conformity      1    1136.8 16089 548.40
## + V_tradition       1    1129.1 16097 548.46
## + V_Security        1    1068.7 16157 548.86
## + V_Selfdirection   1     742.5 16483 551.04
## <none>                          17226 553.85
## + V_Achievement     1     217.8 17008 554.46
## + V_Hedonism        1     210.1 17016 554.51
## + W_Autonomy        1     189.4 17036 554.64
## + V_Stimulation     1     173.4 17052 554.74
## + W_SelfAcceptance  1     145.6 17080 554.92
## + W_EnvMastery      1      88.4 17137 555.28
## + W_PersGrowth      1      82.7 17143 555.32
## + V_Power           1      63.4 17162 555.44
## + W_PositiveRel     1      63.3 17162 555.44
## + WellBeing         1       7.0 17219 555.80
## + W_PurposeLife     1       4.9 17221 555.81
## 
## Step:  AIC=532.2
## EnvIdentity ~ V_universalism
## 
##                              Df Sum of Sq   RSS    AIC
## + V_universalism:Sex          1     299.7 13566 531.81
## + W_PersGrowth                1     294.2 13572 531.86
## + V_universalism:Nationality  1     265.5 13600 532.09
## <none>                                    13866 532.20
## + V_benevolence               1     144.6 13721 533.05
## + W_PurposeLife               1      95.3 13771 533.44
## + V_Stimulation               1      80.7 13785 533.56
## + V_Security                  1      79.7 13786 533.57
## + V_Selfdirection             1      76.2 13790 533.59
## + V_Power                     1      71.7 13794 533.63
## + W_Autonomy                  1      60.4 13805 533.72
## + W_SelfAcceptance            1      51.4 13814 533.79
## + V_tradition                 1      46.3 13820 533.83
## + V_Conformity                1      44.2 13822 533.85
## + W_EnvMastery                1      31.0 13835 533.95
## + W_PositiveRel               1      25.1 13841 534.00
## + V_Hedonism                  1       8.2 13858 534.13
## + WellBeing                   1       3.1 13863 534.17
## + V_Achievement               1       0.0 13866 534.20
## - V_universalism              1    3359.8 17226 553.85
## 
## Step:  AIC=531.81
## EnvIdentity ~ V_universalism + V_universalism:Sex
## 
##                              Df Sum of Sq   RSS    AIC
## + V_universalism:Nationality  1   257.476 13309 531.73
## + W_PersGrowth                1   248.933 13317 531.80
## <none>                                    13566 531.81
## - V_universalism:Sex          1   299.676 13866 532.20
## + V_benevolence               1   149.748 13416 532.60
## + V_Security                  1   111.153 13455 532.92
## + V_Power                     1   100.335 13466 533.01
## + W_PurposeLife               1    70.605 13496 533.25
## + V_Stimulation               1    57.711 13508 533.35
## + V_tradition                 1    46.276 13520 533.44
## + V_Conformity                1    40.499 13526 533.49
## + V_Selfdirection             1    31.915 13534 533.56
## + W_Autonomy                  1    20.663 13546 533.65
## + W_SelfAcceptance            1    17.853 13548 533.67
## + W_EnvMastery                1    15.190 13551 533.69
## + W_PositiveRel               1    14.980 13551 533.69
## + V_Hedonism                  1     9.895 13556 533.73
## + V_Achievement               1     0.189 13566 533.81
## + WellBeing                   1     0.117 13566 533.81
## 
## Step:  AIC=531.73
## EnvIdentity ~ V_universalism + V_universalism:Sex + V_universalism:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + W_Autonomy                  1    338.14 12970 530.92
## <none>                                    13309 531.73
## - V_universalism:Nationality  1    257.48 13566 531.81
## + V_benevolence               1    225.39 13083 531.86
## - V_universalism:Sex          1    291.61 13600 532.09
## + WellBeing                   1    172.71 13136 532.30
## + V_tradition                 1    170.17 13138 532.32
## + V_Security                  1    130.05 13179 532.66
## + W_PositiveRel               1    102.54 13206 532.88
## + W_PurposeLife               1     98.67 13210 532.91
## + V_Power                     1     98.42 13210 532.92
## + V_Conformity                1     91.65 13217 532.97
## + W_EnvMastery                1     81.22 13228 533.06
## + W_SelfAcceptance            1     46.31 13262 533.35
## + V_Selfdirection             1     41.64 13267 533.38
## + V_Hedonism                  1     19.94 13289 533.56
## + W_PersGrowth                1     18.30 13290 533.58
## + V_Stimulation               1     15.54 13293 533.60
## + V_Achievement               1      0.01 13309 533.73
## 
## Step:  AIC=530.92
## EnvIdentity ~ V_universalism + W_Autonomy + V_universalism:Sex + 
##     V_universalism:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## - V_universalism:Sex          1    142.02 13113 530.11
## + V_benevolence               1    237.90 12733 530.90
## <none>                                    12970 530.92
## + V_tradition                 1    212.26 12758 531.12
## + V_Conformity                1    155.36 12815 531.61
## - W_Autonomy                  1    338.14 13309 531.73
## + V_Power                     1    106.66 12864 532.02
## + W_PersGrowth                1     78.36 12892 532.26
## + V_Security                  1     71.83 12899 532.32
## + W_PurposeLife               1     67.86 12903 532.35
## + V_Selfdirection             1     53.47 12917 532.47
## + W_PositiveRel               1     49.03 12922 532.51
## + V_Stimulation               1     31.99 12938 532.65
## + WellBeing                   1     29.45 12941 532.67
## + W_Autonomy:Nationality      1     20.95 12950 532.74
## + W_SelfAcceptance            1     17.08 12954 532.78
## + W_EnvMastery                1     10.35 12960 532.83
## + W_Autonomy:Sex              1      1.91 12969 532.90
## + V_Achievement               1      0.45 12970 532.92
## + V_Hedonism                  1      0.39 12970 532.92
## - V_universalism:Nationality  1    574.96 13546 533.65
## 
## Step:  AIC=530.11
## EnvIdentity ~ V_universalism + W_Autonomy + V_universalism:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## <none>                                    13113 530.11
## + V_benevolence               1    236.39 12876 530.12
## + V_tradition                 1    220.98 12892 530.25
## + V_Conformity                1    172.22 12940 530.67
## + V_universalism:Sex          1    142.02 12970 530.92
## + W_Autonomy:Sex              1    121.20 12991 531.10
## + W_PersGrowth                1    119.17 12993 531.11
## + V_Selfdirection             1     89.18 13023 531.36
## + V_Power                     1     87.46 13025 531.38
## + W_PurposeLife               1     79.03 13034 531.45
## + W_PositiveRel               1     54.16 13058 531.66
## + V_Security                  1     46.98 13066 531.72
## + V_Stimulation               1     46.66 13066 531.72
## + W_SelfAcceptance            1     32.98 13080 531.83
## + WellBeing                   1     29.37 13083 531.86
## + W_Autonomy:Nationality      1     21.93 13091 531.93
## - W_Autonomy                  1    487.72 13600 532.09
## + W_EnvMastery                1      0.54 13112 532.10
## + V_Achievement               1      0.38 13112 532.10
## + V_Hedonism                  1      0.04 13112 532.11
## - V_universalism:Nationality  1    692.86 13805 533.72
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + W_Autonomy + V_universalism:Nationality, 
##     data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -29.5124  -7.4646   0.1875   6.4359  21.6983 
## 
## Coefficients:
##                                  Estimate Std. Error t value    Pr(>|t|)    
## (Intercept)                       49.3011     9.3499   5.273 0.000000724 ***
## V_universalism                     4.8944     0.9497   5.154 0.000001207 ***
## W_Autonomy                        -0.3163     0.1600  -1.976      0.0508 .  
## V_universalism:NationalityRussia   1.3335     0.5661   2.355      0.0204 *  
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.18 on 105 degrees of freedom
## Multiple R-squared:  0.2388, Adjusted R-squared:  0.217 
## F-statistic: 10.98 on 3 and 105 DF,  p-value: 0.000002491

Start_1 *

Поиск моделей в направлении “forward”

step(start_model_1, scope = list(lower = start_model_1, upper = full_model), direction = "forward") %>% 
        summary()
## Start:  AIC=556.97
## EnvIdentity ~ V_Power:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3694.2 13511 531.37
## + V_benevolence     1    2256.1 14949 542.39
## + V_tradition       1    1264.8 15940 549.39
## + V_Conformity      1    1237.4 15968 549.58
## + V_Security        1    1102.1 16103 550.50
## + V_Selfdirection   1     752.8 16452 552.84
## <none>                          17205 555.71
## + W_Autonomy        1     280.4 16924 555.92
## + V_Hedonism        1     210.5 16994 556.37
## + V_Achievement     1     203.5 17002 556.42
## + W_EnvMastery      1     198.6 17006 556.45
## + V_Stimulation     1     178.6 17026 556.58
## + W_SelfAcceptance  1     141.0 17064 556.82
## + V_Power           1     116.7 17088 556.97
## + W_PersGrowth      1      64.3 17141 557.31
## + W_PositiveRel     1      58.5 17146 557.34
## + W_PurposeLife     1       4.0 17201 557.69
## + WellBeing         1       0.8 17204 557.71
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + V_Power                     1    333.49 13177 530.64
## + W_Autonomy                  1    249.77 13261 531.33
## + V_universalism:Sex          1    246.20 13265 531.36
## <none>                                    13511 531.37
## + V_benevolence               1    188.38 13322 531.84
## + W_PurposeLife               1    136.57 13374 532.26
## + V_Selfdirection             1    127.97 13383 532.33
## + WellBeing                   1    120.96 13390 532.39
## + V_Stimulation               1     99.65 13411 532.56
## + W_SelfAcceptance            1     95.23 13416 532.60
## + V_tradition                 1     88.36 13422 532.65
## + V_Security                  1     73.80 13437 532.77
## + V_Conformity                1     68.34 13442 532.82
## + W_PositiveRel               1     57.07 13454 532.91
## + W_PersGrowth                1     48.77 13462 532.97
## + W_EnvMastery                1     22.18 13489 533.19
## + V_Achievement               1     14.94 13496 533.25
## + V_universalism:Nationality  1     11.02 13500 533.28
## + V_Hedonism                  1      3.90 13507 533.34
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + V_Conformity                1    439.73 12738 528.94
## + V_tradition                 1    428.14 12749 529.04
## + W_Autonomy                  1    423.39 12754 529.08
## + V_Security                  1    408.94 12768 529.21
## + V_benevolence               1    311.14 12866 530.04
## + V_universalism:Sex          1    279.31 12898 530.31
## + WellBeing                   1    271.90 12905 530.37
## <none>                                    13177 530.64
## + W_PositiveRel               1    161.70 13016 531.30
## + W_PurposeLife               1    145.00 13032 531.44
## + W_EnvMastery                1    108.44 13069 531.74
## + W_SelfAcceptance            1    100.12 13077 531.81
## + V_Hedonism                  1     76.25 13101 532.01
## + V_Power:Sex                 1     61.40 13116 532.14
## + V_universalism:Nationality  1     60.27 13117 532.14
## + V_Selfdirection             1     54.72 13122 532.19
## + V_Achievement               1     53.49 13124 532.20
## + V_Stimulation               1      4.08 13173 532.61
## + W_PersGrowth                1      0.43 13177 532.64
## 
## Step:  AIC=528.94
## EnvIdentity ~ V_universalism + V_Power + V_Conformity + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + W_Autonomy                  1    613.83 12124 525.56
## + WellBeing                   1    439.22 12298 527.12
## + W_EnvMastery                1    310.63 12427 528.25
## + V_Conformity:Sex            1    301.28 12436 528.34
## + V_universalism:Sex          1    283.05 12454 528.50
## + V_Conformity:Nationality    1    244.95 12493 528.83
## + W_PositiveRel               1    235.56 12502 528.91
## <none>                                    12738 528.94
## + V_Security                  1    208.67 12529 529.14
## + W_SelfAcceptance            1    156.57 12581 529.60
## + W_PurposeLife               1    148.11 12589 529.67
## + V_tradition                 1    142.23 12595 529.72
## + V_Selfdirection             1    124.62 12613 529.87
## + V_universalism:Nationality  1    111.80 12626 529.98
## + V_Hedonism                  1    103.45 12634 530.06
## + V_benevolence               1     96.69 12641 530.11
## + V_Power:Sex                 1     26.25 12711 530.72
## + W_PersGrowth                1      9.83 12728 530.86
## + V_Stimulation               1      0.52 12737 530.94
## + V_Achievement               1      0.00 12738 530.94
## 
## Step:  AIC=525.56
## EnvIdentity ~ V_universalism + V_Power + V_Conformity + W_Autonomy + 
##     V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## <none>                                    12124 525.56
## + V_Conformity:Sex            1   136.150 11988 526.33
## + V_Security                  1   135.031 11989 526.34
## + V_universalism:Sex          1   126.075 11998 526.42
## + V_Selfdirection             1   123.382 12000 526.45
## + W_Autonomy:Sex              1   104.128 12020 526.62
## + V_tradition                 1    90.481 12033 526.74
## + W_PurposeLife               1    87.987 12036 526.77
## + W_PositiveRel               1    80.598 12043 526.83
## + W_PersGrowth                1    75.011 12049 526.88
## + WellBeing                   1    73.144 12051 526.90
## + W_EnvMastery                1    66.918 12057 526.96
## + W_SelfAcceptance            1    63.055 12061 526.99
## + V_benevolence               1    58.584 12065 527.03
## + V_Hedonism                  1    36.750 12087 527.23
## + V_Conformity:Nationality    1    30.596 12093 527.29
## + V_Stimulation               1     5.836 12118 527.51
## + V_Power:Sex                 1     3.305 12120 527.53
## + V_universalism:Nationality  1     2.866 12121 527.54
## + V_Achievement               1     1.317 12122 527.55
## + W_Autonomy:Nationality      1     0.540 12123 527.56
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + V_Power + V_Conformity + 
##     W_Autonomy + V_Power:Nationality, data = Data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -30.490  -6.941   0.090   6.870  22.556 
## 
## Coefficients:
##                           Estimate Std. Error t value    Pr(>|t|)    
## (Intercept)                49.0541     8.7884   5.582 0.000000194 ***
## V_universalism              4.3303     1.0770   4.021    0.000111 ***
## V_Power                    -2.6694     0.8890  -3.003    0.003359 ** 
## V_Conformity                3.0307     1.3098   2.314    0.022663 *  
## W_Autonomy                 -0.3179     0.1392  -2.284    0.024446 *  
## V_Power:NationalityRussia   2.9129     0.8242   3.534    0.000614 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.85 on 103 degrees of freedom
## Multiple R-squared:  0.2962, Adjusted R-squared:  0.262 
## F-statistic: 8.669 on 5 and 103 DF,  p-value: 0.0000006923

Start_2

Поиск моделей в направлении “forward”

step(start_model_2, scope = list(lower = start_model_2, upper = full_model), direction = "forward") %>% 
        summary()
## Start:  AIC=562.88
## EnvIdentity ~ Nationality:(W_PersGrowth + W_PurposeLife + V_Power)
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3359.8 13866 532.20
## + V_benevolence     1    2063.5 15162 541.94
## + V_Conformity      1    1136.8 16089 548.40
## + V_tradition       1    1129.1 16097 548.46
## + V_Security        1    1068.7 16157 548.86
## + V_Selfdirection   1     742.5 16483 551.04
## <none>                          17226 553.85
## + V_Achievement     1     217.8 17008 554.46
## + V_Hedonism        1     210.1 17016 554.51
## + W_Autonomy        1     189.4 17036 554.64
## + V_Stimulation     1     173.4 17052 554.74
## + W_SelfAcceptance  1     145.6 17080 554.92
## + W_EnvMastery      1      88.4 17137 555.28
## + W_PersGrowth      1      82.7 17143 555.32
## + V_Power           1      63.4 17162 555.44
## + W_PositiveRel     1      63.3 17162 555.44
## + WellBeing         1       7.0 17219 555.80
## + W_PurposeLife     1       4.9 17221 555.81
## 
## Step:  AIC=536.18
## EnvIdentity ~ V_universalism + Nationality:W_PersGrowth + Nationality:W_PurposeLife + 
##     Nationality:V_Power
## 
##                              Df Sum of Sq   RSS    AIC
## + V_universalism:Sex          1   299.676 13566 531.81
## + W_PersGrowth                1   294.195 13572 531.86
## + V_universalism:Nationality  1   265.546 13600 532.09
## <none>                                    13866 532.20
## + V_benevolence               1   144.606 13721 533.05
## + W_PurposeLife               1    95.261 13771 533.44
## + V_Stimulation               1    80.701 13785 533.56
## + V_Security                  1    79.682 13786 533.57
## + V_Selfdirection             1    76.249 13790 533.59
## + V_Power                     1    71.691 13794 533.63
## + W_Autonomy                  1    60.408 13805 533.72
## + W_SelfAcceptance            1    51.447 13814 533.79
## + V_tradition                 1    46.258 13820 533.83
## + V_Conformity                1    44.186 13822 533.85
## + W_EnvMastery                1    31.016 13835 533.95
## + W_PositiveRel               1    25.092 13841 534.00
## + V_Hedonism                  1     8.175 13858 534.13
## + WellBeing                   1     3.096 13863 534.17
## + V_Achievement               1     0.042 13866 534.20
## 
## Step:  AIC=536.73
## EnvIdentity ~ V_universalism + Nationality:W_PersGrowth + Nationality:W_PurposeLife + 
##     Nationality:V_Power + V_universalism:Sex
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + Nationality:W_PersGrowth + 
##     Nationality:W_PurposeLife + Nationality:V_Power + V_universalism:Sex, 
##     data = Data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -26.872  -6.727   0.670   7.381  21.938 
## 
## Coefficients:
##                                  Estimate Std. Error t value    Pr(>|t|)    
## (Intercept)                     38.194836  13.361843   2.859     0.00518 ** 
## V_universalism                   5.748294   1.053516   5.456 0.000000353 ***
## NationalityFrance:W_PersGrowth   0.114392   0.257532   0.444     0.65787    
## NationalityRussia:W_PersGrowth  -0.079496   0.276445  -0.288     0.77427    
## NationalityFrance:W_PurposeLife -0.160089   0.142122  -1.126     0.26268    
## NationalityRussia:W_PurposeLife  0.004213   0.219521   0.019     0.98473    
## NationalityFrance:V_Power       -1.417363   0.909928  -1.558     0.12247    
## NationalityRussia:V_Power        0.486133   1.021542   0.476     0.63520    
## V_universalism:SexMale          -0.538818   0.465338  -1.158     0.24966    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.27 on 100 degrees of freedom
## Multiple R-squared:  0.262,  Adjusted R-squared:  0.203 
## F-statistic: 4.438 on 8 and 100 DF,  p-value: 0.000126

Start_1 Full_1

Поиск моделей в направлении “forward”

step(start_model_1, scope = list(lower = start_model_1, upper = full_model_1), direction = "forward") %>% 
        summary()
## Start:  AIC=556.97
## EnvIdentity ~ V_Power:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3359.8 13866 532.20
## + V_benevolence     1    2063.5 15162 541.94
## + V_Conformity      1    1136.8 16089 548.40
## + V_tradition       1    1129.1 16097 548.46
## + V_Security        1    1068.7 16157 548.86
## + V_Selfdirection   1     742.5 16483 551.04
## + Sex               1     704.1 16522 551.30
## <none>                          17226 553.85
## + V_Achievement     1     217.8 17008 554.46
## + V_Hedonism        1     210.1 17016 554.51
## + W_Autonomy        1     189.4 17036 554.64
## + V_Stimulation     1     173.4 17052 554.74
## + W_SelfAcceptance  1     145.6 17080 554.92
## + W_EnvMastery      1      88.4 17137 555.28
## + W_PersGrowth      1      82.7 17143 555.32
## + V_Power           1      63.4 17162 555.44
## + W_PositiveRel     1      63.3 17162 555.44
## + WellBeing         1       7.0 17219 555.80
## + W_PurposeLife     1       4.9 17221 555.81
## + Nationality       1       0.0 17226 555.85
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + Nationality       1    323.51 13542 531.62
## + W_PersGrowth      1    294.20 13572 531.86
## + Sex               1    280.59 13585 531.97
## <none>                          13866 532.20
## + V_benevolence     1    144.61 13721 533.05
## + W_PurposeLife     1     95.26 13771 533.44
## + V_Stimulation     1     80.70 13785 533.56
## + V_Security        1     79.68 13786 533.57
## + V_Selfdirection   1     76.25 13790 533.59
## + V_Power           1     71.69 13794 533.63
## + W_Autonomy        1     60.41 13805 533.72
## + W_SelfAcceptance  1     51.45 13814 533.79
## + V_tradition       1     46.26 13820 533.83
## + V_Conformity      1     44.19 13822 533.85
## + W_EnvMastery      1     31.02 13835 533.95
## + W_PositiveRel     1     25.09 13841 534.00
## + V_Hedonism        1      8.18 13858 534.13
## + WellBeing         1      3.10 13863 534.17
## + V_Achievement     1      0.04 13866 534.20
## 
## Step:  AIC=532.35
## EnvIdentity ~ V_universalism + Nationality + V_Power:Nationality
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + Nationality + V_Power:Nationality, 
##     data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -25.7661  -7.4689  -0.2818   6.8209  23.5597 
## 
## Coefficients:
##                           Estimate Std. Error t value     Pr(>|t|)    
## (Intercept)                35.4962     5.9030   6.013 0.0000000273 ***
## V_universalism              5.4079     0.9938   5.441 0.0000003535 ***
## NationalityRussia          -2.3080     4.3311  -0.533        0.595    
## NationalityFrance:V_Power  -1.4959     0.9124  -1.639        0.104    
## NationalityRussia:V_Power   0.7081     1.0161   0.697        0.487    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.24 on 104 degrees of freedom
## Multiple R-squared:  0.2371, Adjusted R-squared:  0.2078 
## F-statistic: 8.081 on 4 and 104 DF,  p-value: 0.0000103

Поиск моделей в направлении “forward”

step(start_model_1, scope = list(lower = start_model_1, upper = full_model_1N), direction = "forward") %>% 
        summary()
## Start:  AIC=556.97
## EnvIdentity ~ V_Power:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3359.8 13866 532.20
## + V_benevolence     1    2063.5 15162 541.94
## + V_Conformity      1    1136.8 16089 548.40
## + V_tradition       1    1129.1 16097 548.46
## + V_Security        1    1068.7 16157 548.86
## + V_Selfdirection   1     742.5 16483 551.04
## <none>                          17226 553.85
## + V_Achievement     1     217.8 17008 554.46
## + V_Hedonism        1     210.1 17016 554.51
## + W_Autonomy        1     189.4 17036 554.64
## + V_Stimulation     1     173.4 17052 554.74
## + W_SelfAcceptance  1     145.6 17080 554.92
## + W_EnvMastery      1      88.4 17137 555.28
## + W_PersGrowth      1      82.7 17143 555.32
## + V_Power           1      63.4 17162 555.44
## + W_PositiveRel     1      63.3 17162 555.44
## + WellBeing         1       7.0 17219 555.80
## + W_PurposeLife     1       4.9 17221 555.81
## + Nationality       1       0.0 17226 555.85
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power:Nationality
## 
##                      Df Sum of Sq   RSS    AIC
## + Nationality         1    323.51 13542 531.62
## + V_universalism:Sex  1    299.68 13566 531.81
## + W_PersGrowth        1    294.20 13572 531.86
## <none>                            13866 532.20
## + V_benevolence       1    144.61 13721 533.05
## + W_PurposeLife       1     95.26 13771 533.44
## + V_Stimulation       1     80.70 13785 533.56
## + V_Security          1     79.68 13786 533.57
## + V_Selfdirection     1     76.25 13790 533.59
## + V_Power             1     71.69 13794 533.63
## + W_Autonomy          1     60.41 13805 533.72
## + W_SelfAcceptance    1     51.45 13814 533.79
## + V_tradition         1     46.26 13820 533.83
## + V_Conformity        1     44.19 13822 533.85
## + W_EnvMastery        1     31.02 13835 533.95
## + W_PositiveRel       1     25.09 13841 534.00
## + V_Hedonism          1      8.18 13858 534.13
## + WellBeing           1      3.10 13863 534.17
## + V_Achievement       1      0.04 13866 534.20
## 
## Step:  AIC=532.35
## EnvIdentity ~ V_universalism + Nationality + V_Power:Nationality
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + Nationality + V_Power:Nationality, 
##     data = Data2)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -25.7661  -7.4689  -0.2818   6.8209  23.5597 
## 
## Coefficients:
##                           Estimate Std. Error t value     Pr(>|t|)    
## (Intercept)                35.4962     5.9030   6.013 0.0000000273 ***
## V_universalism              5.4079     0.9938   5.441 0.0000003535 ***
## NationalityRussia          -2.3080     4.3311  -0.533        0.595    
## NationalityFrance:V_Power  -1.4959     0.9124  -1.639        0.104    
## NationalityRussia:V_Power   0.7081     1.0161   0.697        0.487    
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 11.24 on 104 degrees of freedom
## Multiple R-squared:  0.2371, Adjusted R-squared:  0.2078 
## F-statistic: 8.081 on 4 and 104 DF,  p-value: 0.0000103

Поиск моделей в направлении “forward”

step(start_model_1, scope = list(lower = start_model_1, upper = full_model_1S), direction = "forward") %>% 
        summary()
## Start:  AIC=556.97
## EnvIdentity ~ V_Power:Nationality
## 
##                    Df Sum of Sq   RSS    AIC
## + V_universalism    1    3694.2 13511 531.37
## + V_benevolence     1    2256.1 14949 542.39
## + V_tradition       1    1264.8 15940 549.39
## + V_Conformity      1    1237.4 15968 549.58
## + V_Security        1    1102.1 16103 550.50
## + V_Selfdirection   1     752.8 16452 552.84
## + Sex               1     692.1 16513 553.24
## <none>                          17205 555.71
## + W_Autonomy        1     280.4 16924 555.92
## + V_Hedonism        1     210.5 16994 556.37
## + V_Achievement     1     203.5 17002 556.42
## + W_EnvMastery      1     198.6 17006 556.45
## + V_Stimulation     1     178.6 17026 556.58
## + W_SelfAcceptance  1     141.0 17064 556.82
## + V_Power           1     116.7 17088 556.97
## + W_PersGrowth      1      64.3 17141 557.31
## + W_PositiveRel     1      58.5 17146 557.34
## + W_PurposeLife     1       4.0 17201 557.69
## + WellBeing         1       0.8 17204 557.71
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + V_Power                     1    333.49 13177 530.64
## + W_Autonomy                  1    249.77 13261 531.33
## <none>                                    13511 531.37
## + Sex                         1    220.13 13291 531.58
## + V_benevolence               1    188.38 13322 531.84
## + W_PurposeLife               1    136.57 13374 532.26
## + V_Selfdirection             1    127.97 13383 532.33
## + WellBeing                   1    120.96 13390 532.39
## + V_Stimulation               1     99.65 13411 532.56
## + W_SelfAcceptance            1     95.23 13416 532.60
## + V_tradition                 1     88.36 13422 532.65
## + V_Security                  1     73.80 13437 532.77
## + V_Conformity                1     68.34 13442 532.82
## + W_PositiveRel               1     57.07 13454 532.91
## + W_PersGrowth                1     48.77 13462 532.97
## + W_EnvMastery                1     22.18 13489 533.19
## + V_Achievement               1     14.94 13496 533.25
## + V_universalism:Nationality  1     11.02 13500 533.28
## + V_Hedonism                  1      3.90 13507 533.34
## 
## Step:  AIC=530.64
## EnvIdentity ~ V_universalism + V_Power + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + V_Conformity                1    439.73 12738 528.94
## + V_tradition                 1    428.14 12749 529.04
## + W_Autonomy                  1    423.39 12754 529.08
## + V_Security                  1    408.94 12768 529.21
## + V_benevolence               1    311.14 12866 530.04
## + WellBeing                   1    271.90 12905 530.37
## + Sex                         1    251.10 12926 530.55
## <none>                                    13177 530.64
## + W_PositiveRel               1    161.70 13016 531.30
## + W_PurposeLife               1    145.00 13032 531.44
## + W_EnvMastery                1    108.44 13069 531.74
## + W_SelfAcceptance            1    100.12 13077 531.81
## + V_Hedonism                  1     76.25 13101 532.01
## + V_universalism:Nationality  1     60.27 13117 532.14
## + V_Selfdirection             1     54.72 13122 532.19
## + V_Achievement               1     53.49 13124 532.20
## + V_Stimulation               1      4.08 13173 532.61
## + W_PersGrowth                1      0.43 13177 532.64
## 
## Step:  AIC=528.94
## EnvIdentity ~ V_universalism + V_Power + V_Conformity + V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## + W_Autonomy                  1    613.83 12124 525.56
## + WellBeing                   1    439.22 12298 527.12
## + W_EnvMastery                1    310.63 12427 528.25
## + V_Conformity:Nationality    1    244.95 12493 528.83
## + Sex                         1    240.28 12497 528.87
## + W_PositiveRel               1    235.56 12502 528.91
## <none>                                    12738 528.94
## + V_Security                  1    208.67 12529 529.14
## + W_SelfAcceptance            1    156.57 12581 529.60
## + W_PurposeLife               1    148.11 12589 529.67
## + V_tradition                 1    142.23 12595 529.72
## + V_Selfdirection             1    124.62 12613 529.87
## + V_universalism:Nationality  1    111.80 12626 529.98
## + V_Hedonism                  1    103.45 12634 530.06
## + V_benevolence               1     96.69 12641 530.11
## + W_PersGrowth                1      9.83 12728 530.86
## + V_Stimulation               1      0.52 12737 530.94
## + V_Achievement               1      0.00 12738 530.94
## 
## Step:  AIC=525.56
## EnvIdentity ~ V_universalism + V_Power + V_Conformity + W_Autonomy + 
##     V_Power:Nationality
## 
##                              Df Sum of Sq   RSS    AIC
## <none>                                    12124 525.56
## + V_Security                  1   135.031 11989 526.34
## + V_Selfdirection             1   123.382 12000 526.45
## + Sex                         1    91.935 12032 526.73
## + V_tradition                 1    90.481 12033 526.74
## + W_PurposeLife               1    87.987 12036 526.77
## + W_PositiveRel               1    80.598 12043 526.83
## + W_PersGrowth                1    75.011 12049 526.88
## + WellBeing                   1    73.144 12051 526.90
## + W_EnvMastery                1    66.918 12057 526.96
## + W_SelfAcceptance            1    63.055 12061 526.99
## + V_benevolence               1    58.584 12065 527.03
## + V_Hedonism                  1    36.750 12087 527.23
## + V_Conformity:Nationality    1    30.596 12093 527.29
## + V_Stimulation               1     5.836 12118 527.51
## + V_universalism:Nationality  1     2.866 12121 527.54
## + V_Achievement               1     1.317 12122 527.55
## + W_Autonomy:Nationality      1     0.540 12123 527.56
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + V_Power + V_Conformity + 
##     W_Autonomy + V_Power:Nationality, data = Data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -30.490  -6.941   0.090   6.870  22.556 
## 
## Coefficients:
##                           Estimate Std. Error t value    Pr(>|t|)    
## (Intercept)                49.0541     8.7884   5.582 0.000000194 ***
## V_universalism              4.3303     1.0770   4.021    0.000111 ***
## V_Power                    -2.6694     0.8890  -3.003    0.003359 ** 
## V_Conformity                3.0307     1.3098   2.314    0.022663 *  
## W_Autonomy                 -0.3179     0.1392  -2.284    0.024446 *  
## V_Power:NationalityRussia   2.9129     0.8242   3.534    0.000614 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.85 on 103 degrees of freedom
## Multiple R-squared:  0.2962, Adjusted R-squared:  0.262 
## F-statistic: 8.669 on 5 and 103 DF,  p-value: 0.0000006923

Итоговая модель

lm(formula = EnvIdentity ~ V_universalism + V_Power + V_Conformity + 
    W_Autonomy + V_Power:Nationality, data = Data2) %>% 
        summary()
## 
## Call:
## lm(formula = EnvIdentity ~ V_universalism + V_Power + V_Conformity + 
##     W_Autonomy + V_Power:Nationality, data = Data2)
## 
## Residuals:
##     Min      1Q  Median      3Q     Max 
## -30.490  -6.941   0.090   6.870  22.556 
## 
## Coefficients:
##                           Estimate Std. Error t value    Pr(>|t|)    
## (Intercept)                49.0541     8.7884   5.582 0.000000194 ***
## V_universalism              4.3303     1.0770   4.021    0.000111 ***
## V_Power                    -2.6694     0.8890  -3.003    0.003359 ** 
## V_Conformity                3.0307     1.3098   2.314    0.022663 *  
## W_Autonomy                 -0.3179     0.1392  -2.284    0.024446 *  
## V_Power:NationalityRussia   2.9129     0.8242   3.534    0.000614 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 10.85 on 103 degrees of freedom
## Multiple R-squared:  0.2962, Adjusted R-squared:  0.262 
## F-statistic: 8.669 on 5 and 103 DF,  p-value: 0.0000006923

График по модели

Data %>% 
    select(Nationality, EnvIdentity, V_universalism, V_Power, V_Conformity, W_Autonomy) %>% # Выбираем только нужные переменные
    pivot_longer(
        cols = c(V_universalism, V_Power, V_Conformity, W_Autonomy), 
        names_to = "Variable", 
        values_to = "Value"
    ) %>% 
    # Добавляем новые метки для переменных
    mutate(Variable = recode(
        Variable, 
        V_universalism = "Универсализм (ЦО)",
        V_Power = "Власть (ЦО)",
        V_Conformity = "Конформность (ЦО)",
        W_Autonomy = "Автономность (ПБ)"
    )) %>% 
    ggplot(aes(x = Value, y = EnvIdentity, col = Nationality)) +
    geom_point(alpha = 0.7, size = 2) + # Добавление прозрачности и размера точек
    geom_smooth(method = 'lm', se = FALSE, linewidth = 0.8) + # Линия тренда
    facet_grid(cols = vars(Variable), scales = "free_x") + # Свободная шкала для X
    labs(
        #title = "Факторы регрессионной модели и их связь с идентификацией с природой",
        x = "Значение переменной",
        y = "Идентификация с природой",
        col = "Страна",
        caption = "Примечание: (ЦО) — Ценностные ориентации, (ПБ) — Психологическое благополучие"
    ) +
    theme_light(base_size = 12) +
    theme(
        strip.text = element_text(size = 11, face = "bold"), # Оформление заголовков фасетов
        legend.position = "bottom", # Перемещение легенды вниз
        legend.title = element_text(size = 11, face = "bold"), # Форматирование заголовка легенды
        legend.text = element_text(size = 10), # Форматирование текста легенды
        plot.title = element_text(size = 14, face = "bold", hjust = 0.5), # Центровка и форматирование заголовка
        plot.caption = element_text(size = 10, hjust = 0), # Оформление подписи
        panel.grid.minor = element_blank() # Удаление мелкой сетки
    )
## `geom_smooth()` using formula = 'y ~ x'