Printing the chi-squared value from Mauchley's test of Sphericity

General
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1

Hey all,

I have the following code below (to carry out a repeated-measures ANOVA):

negativeaffect %>% anova_test(Scores ~ Group*Time + Error(ID/Time),effect.size="pes")

The output I get is this:

ANOVA Table (type III tests)

$ANOVA
      Effect DFn DFd      F        p p<.05   pes
1      Group   1  50 50.352 4.25e-09     * 0.502
2       Time   2 100 15.521 1.35e-06     * 0.237
3 Group:Time   2 100 18.133 1.91e-07     * 0.266

$`Mauchly's Test for Sphericity`
      Effect     W     p p<.05
1       Time 0.894 0.064      
2 Group:Time 0.894 0.064      

$`Sphericity Corrections`
      Effect   GGe      DF[GG]    p[GG] p[GG]<.05   HFe      DF[HF]    p[HF]
1       Time 0.904 1.81, 90.43 3.65e-06         * 0.936 1.87, 93.62 2.62e-06
2 Group:Time 0.904 1.81, 90.43 6.17e-07         * 0.936 1.87, 93.62 4.17e-07
  p[HF]<.05
1         *
2         *

However, there is no chi-squared value printed for the Mauchley's Test of Sphericity! Does anyone know where I can obtain this?

I would be very grateful if any of you could give me a helping hand!

Minimal Reproducible Dataset:

structure(list(Group = c("SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", "SH", 
"SH", "SH", "SH", "SH", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", "HC", 
"HC", "HC", "HC", "HC", "HC", "HC", "HC"), Time = c(1, 1, 1, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 
3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 
1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 
2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
3, 3, 3, 3, 3, 3), Scores = c(19, 19, 14, 15, 17, 14, 16, 17, 
29.7696454586522, 14, 12, 10, 18, 25, 22, 11, 15, 24, 10, 14, 
12, 24, 16, 12, 14, 12, 25, 14, 25, 23, 15, 18, 25, 13, 28, 20, 
16, 39.7481326678025, 14, 28, 17, 25, 18, 23, 10, 30, 35, 25, 
21, 17, 28, 29, 16, 27, 11, 28, 37, 32, 12, 17, 13, 18, 13, 13, 
18, 13, 23, 13, 21, 10, 11, 21, 13, 10, 15, 17, 13, 13, 10, 27.4341250629389, 
27.4341250629389, 11, 17, 10, 24, 23, 15, 10, 12, 13, 10, 13, 
10, 10, 12, 13, 11, 11, 12, 11, 11, 10, 10, 10, 15, 17.3019727176856, 
11, 10, 10, 11, 10, 10, 10, 10, 11, 10, 10, 10, 11, 14.4768489648026, 
10, 10, 10, 10, 10, 10, 10, 14.4768489648026, 10, 11, 10, 10, 
14.4768489648026, 10, 10, 10, 10, 10, 10, 10, 12, 10, 10, 13.6082395496952, 
12, 11, 10, 12, 10, 10, 11, 12, 12, 10, 10, 10), ID = c("1492", 
"1222", "1992j", "1992i", "1592", "1602", "1192", "1852", "1422", 
"1732", "1999", "1924", "1812", "1752", "1762", "1782", "19992", 
"1892", "199912", "190", "171", "199924", "1912", "199943", "1982", 
"1802", "3812", "199945", "197", "1492", "1222", "1992j", "1992i", 
"1592", "1602", "1192", "1852", "1422", "1732", "1999", "1924", 
"1812", "1752", "1762", "1782", "19992", "1892", "199912", "190", 
"171", "199924", "1912", "199943", "1982", "1802", "3812", "199945", 
"197", "1492", "1222", "1992j", "1992i", "1592", "1602", "1192", 
"1852", "1422", "1732", "1999", "1924", "1812", "1752", "1762", 
"1782", "19992", "1892", "199912", "190", "171", "199924", "1912", 
"199943", "1982", "1802", "3812", "199945", "197", "3212", "3182", 
"3162", "3412", "3492", "1993", "363", "3362", "3122", "3152", 
"1997", "19995", "330", "370", "3999", "19998", "375", "374", 
"373", "377", "379", "380", "382", "3212", "3182", "3162", "3412", 
"3492", "1993", "363", "3362", "3122", "3152", "1997", "19995", 
"330", "370", "3999", "19998", "375", "374", "373", "377", "379", 
"380", "382", "3212", "3182", "3162", "3412", "3492", "1993", 
"363", "3362", "3122", "3152", "1997", "19995", "330", "370", 
"3999", "19998", "375", "374", "373", "377", "379", "380", "382"
)), row.names = c(NA, -156L), class = c("tbl_df", "tbl", "data.frame"
))
2

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