checkRd: (-1) nonpartest.Rd:69: Lost braces; missing escapes or markup?
    69 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                   ^
checkRd: (-1) nonpartest.Rd:69: Lost braces; missing escapes or markup?
    69 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                   ^
checkRd: (-1) nonpartest.Rd:69: Lost braces; missing escapes or markup?
    69 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                              ^
checkRd: (-1) nonpartest.Rd:69: Lost braces; missing escapes or markup?
    69 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                                         ^
checkRd: (-1) nonpartest.Rd:69: Lost braces; missing escapes or markup?
    69 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                                                   ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                   ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                               ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                         ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                   ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                           ^
checkRd: (-1) nonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                                     ^
checkRd: (-1) nonpartest.Rd:75: Lost braces; missing escapes or markup?
    75 | \[fhat_1=(tr(G)^2/tr(G^2))   and  fhat_2= (a^2)/((a-1)sum^a_{i=1}(1)/(n_i-1))* fhat_1
       |                                                             ^
checkRd: (-1) nonpartest.Rd:78: Lost braces; missing escapes or markup?
    78 | \[U=tr[(a-1)H((N-a)G)^{-1}]\] Using the McKeon approximation the distribution of U is approximated by a "stretched" F distribution with degrees freedom K and D where:
       |                       ^
checkRd: (-1) nonpartest.Rd:83: Lost braces; missing escapes or markup?
    83 |  \[V= tr\{(a-1)H[(a-1)H+(N-a)G]^{-1}\}\] 
       |                                 ^
checkRd: (-1) nonpartest.Rd:92: Lost braces; missing escapes or markup?
    92 | \[F_lambda=[(1-lambda^{1/t})/(lambda^{1/t})](df_2/df_1)\]
       |                       ^
checkRd: (-1) nonpartest.Rd:92: Lost braces; missing escapes or markup?
    92 | \[F_lambda=[(1-lambda^{1/t})/(lambda^{1/t})](df_2/df_1)\]
       |                                      ^
checkRd: (-1) nonpartest.Rd:98: Lost braces
    98 | \[p(a-1)=2 then  t=1, else  t=sqrt{  (p^2(a-1)^2-4)/(p^2+(a-1)^2-5) }\]
       |                                   ^
checkRd: (-1) ssnonpartest.Rd:64: Lost braces; missing escapes or markup?
    64 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                   ^
checkRd: (-1) ssnonpartest.Rd:64: Lost braces; missing escapes or markup?
    64 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                   ^
checkRd: (-1) ssnonpartest.Rd:64: Lost braces; missing escapes or markup?
    64 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                              ^
checkRd: (-1) ssnonpartest.Rd:64: Lost braces; missing escapes or markup?
    64 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                                         ^
checkRd: (-1) ssnonpartest.Rd:64: Lost braces; missing escapes or markup?
    64 | \[H=(1/(a-1))*sum_{i=1}^a n (Rbar_{i .}-Rbar_{..})(Rbar_{i.}-Rbar_{..})' \]
       |                                                                   ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                   ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                               ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                         ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                   ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                           ^
checkRd: (-1) ssnonpartest.Rd:65: Lost braces; missing escapes or markup?
    65 | \[G=(1/(N-1))*sum_{i=1}^a sum_{j=1}^n(R_{ij}-Rbar_{i.})(R_{ij}-Rbar_{i.})'\]
       |                                                                     ^
checkRd: (-1) ssnonpartest.Rd:70: Lost braces; missing escapes or markup?
    70 | \[fhat_1=(tr(G)^2/tr(G^2))   and  fhat_2= (a^2)/((a-1)sum^a_{i=1}(1)/(n_i-1))* fhat_1
       |                                                             ^
checkRd: (-1) ssnonpartest.Rd:73: Lost braces; missing escapes or markup?
    73 | \[U=tr[(a-1)H((N-a)G)^{-1}]\] Using the McKeon approximation the distribution of U is approximated by a "stretched" F distribution with degrees freedom K and D where:
       |                       ^
checkRd: (-1) ssnonpartest.Rd:78: Lost braces; missing escapes or markup?
    78 |  \[V= tr\{(a-1)H[(a-1)H+(N-a)G]^{-1}\}\] 
       |                                 ^
checkRd: (-1) ssnonpartest.Rd:87: Lost braces; missing escapes or markup?
    87 | \[F_lambda=[(1-lambda^{1/t})/(lambda^{1/t})](df_2/df_1)\]
       |                       ^
checkRd: (-1) ssnonpartest.Rd:87: Lost braces; missing escapes or markup?
    87 | \[F_lambda=[(1-lambda^{1/t})/(lambda^{1/t})](df_2/df_1)\]
       |                                      ^
checkRd: (-1) ssnonpartest.Rd:93: Lost braces
    93 | \[p(a-1)=2 then  t=1, else  t=sqrt{  (p^2(a-1)^2-4)/(p^2+(a-1)^2-5) }\]
       |                                   ^