How does JMP Calculate Fixed Effects?

[#1]

I am comparing mixed model fixed effect calculations made in JMP versus R, attempting to produce similar results. I have been told JMP is using a Type III ANOVA. However, when I run a Type III in R (Wald Chisquare test), I get differing p values and sometimes different significant results. Additionally, the F ratio appears to replace the chi square value. Does anyone know what specific type of test is being run in JMP that would cause it to differ from the Type III ANOVA in R? Below are results for fixed effect tests with a random number dataset, the actual dataset I worked with earlier had more significant differences. Any help would be greatly appreciated!

[#2]

Usually you can find at least okeish documentation from JMP Help,  Fitting Linear Models > Mixed Models ->  Fitting Linear Models > Mixed Models > Mixed Model Report and Options > Fixed Effects Parameter Est... 

[#3]

see also here:

https://www.jmp.com/support/help/en/19.0/?os=mac&source=application#page/jmp/restricted-maximum-like...