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sections: write all the results

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Giù Marcer 2020-06-11 23:25:25 +02:00 committed by rnhmjoj
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commit 6ed5a2318c
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slides/sections/8.md
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@ -59,223 +59,90 @@ $$
\setbeamercovered{transparent} \setbeamercovered{transparent}
## Landau results: ## Landau sample results
Median: ```{=latex}
\begin{center}
:::: {.columns} \begin{tabular}{rcccc}
::: {.column width=50%} \toprule
- $t = 0.761$ & & median & mode & fwhm \\
- $p = 0.446$ \midrule
::: \multirow{2}{*}{50000} & t & 0.761 & 1.012 & 1.338 \\
& p & \gre{0.446} & \gre{0.311} & \gre{0.181} \\
::: {.column width=50%} \midrule
$$ \multirow{2}{*}{1000} & t & 1.549 & 0.072 & 3.790 \\
\hence \text{Compatible!} & p & \gre{0.121} & \gre{0.943} & \red{0.000} \\
$$ \midrule
::: \multirow{2}{*}{200} & t & 2.508 & 0.418 & 1.547 \\
:::: & p & \red{0.012} & \gre{0.676} & \gre{0.122} \\
\toprule
\vspace{10pt} \end{tabular}
\end{center}
. . . ```
Mode:
:::: {.columns}
::: {.column width=50%}
- $t = 1.012$
- $p = 0.311$
:::
::: {.column width=50%}
$$
\hence \text{Compatible!}
$$
:::
::::
\vspace{10pt}
. . .
FWHM:
:::: {.columns}
::: {.column width=50%}
- $t=1.338$
- $p=0.181$
:::
::: {.column width=50%}
$$
\hence \text{Compatible!}
$$
:::
::::
## Moyal results: ## Moyal sample results
Median: ```{=latex}
\begin{center}
:::: {.columns} \begin{tabular}{rcccc}
::: {.column width=50%} \toprule
- $t = 669.940$ & & median & mode & fwhm \\
- $p = 0.000$ \midrule
::: \multirow{2}{*}{50000} & t & 669.9 & 0.732 & 1.329 \\
& p & \gre{0.000} & \gre{0.464} & \gre{0.184} \\
::: {.column width=50%} \midrule
$$ \multirow{2}{*}{1000} & t & 25.47 & 0.665 & 1.890 \\
\hence \text{Not compatible!} & p & \gre{0.000} & \gre{0.506} & \gre{0.059} \\
$$ \midrule
::: \multirow{2}{*}{200} & t & 48.12 & 0.028 & 0.388 \\
:::: & p & \gre{0.000} & \gre{0.978} & \gre{0.698} \\
\toprule
\vspace{10pt} \end{tabular}
\end{center}
. . . ```
Mode:
:::: {.columns}
::: {.column width=50%}
- $t = 0.732$
- $p = 0.464$
:::
::: {.column width=50%}
$$
\hence \text{Compatible!}
$$
:::
::::
\vspace{10pt}
. . .
FWHM:
:::: {.columns}
::: {.column width=50%}
- $t = 1.329$
- $p = 0.184$
:::
::: {.column width=50%}
$$
\hence \text{Compatible!}
$$
:::
::::
## KS results ## KS samples results
$N = 50000$ sampled points ```{=latex}
\begin{center}
. . . \begin{tabular}{rlll}
\toprule
Landau sample: & & L sample & M sample \\
\midrule
:::: {.columns} \multirow{2}{*}{50000} & D & 0.004 & 0.153 \\
::: {.column width=50%} & p & \gre{0.379} & \gre{0.000} \\
- $D = 0.004$ \midrule
- $p = 0.379$ \multirow{2}{*}{1000} & D & 0.020 & 0.162 \\
::: & p & \gre{0.794} & \gre{0.000} \\
\midrule
::: {.column width=50%} \multirow{2}{*}{200} & D & 0.086 & 0.226 \\
$$ & p & \gre{0.100} & \gre{0.000} \\
\hence \text{Compatible!} \toprule
$$ \end{tabular}
::: \end{center}
:::: ```
\vspace{10pt}
. . .
Moyal sample:
:::: {.columns}
::: {.column width=50%}
- $D = 0.153$
- $p = 0.000$
:::
::: {.column width=50%}
$$
\hence \text{Not compatible!}
$$
:::
::::
## Trapani results ## Trapani samples results
. . . ```{=latex}
\begin{center}
Landau sample: \begin{tabular}{rlllll}
\toprule
:::: {.columns} & & \multicolumn{2}{c}{L sample} & \multicolumn{2}{c}{M sample} \\
::: {.column width=33%} & & mean & variance & mean & variance \\
$$ \midrule
\mu_1 \multirow{2}{*}{50000} & $\Theta$ & 0.255 & 0.432 & 161.1 & 162.5 \\
\begin{cases} & p & \gre{0.614} & \gre{0.511} & \gre{0.000} & \gre{0.000} \\
\Theta = 0.255 \\ \midrule
p = 0.614 \multirow{2}{*}{1000} & $\Theta$ & 0.809 & 0.809 & 10.83 & 5.823 \\
\end{cases} & p & \gre{0.368} & \gre{0.368} & \gre{0.016} & \gre{0.001} \\
$$ \midrule
::: \multirow{2}{*}{200} & $\Theta$ & 0.472 & 0.170 & 2.232 & 2.981 \\
& p & \gre{0.492} & \gre{0.680} & \red{0.135} & \red{0.084} \\
::: {.column width=33% .c} \toprule
$$ \end{tabular}
\mu_2 \end{center}
\begin{cases} ```
\Theta = 0.432 \\
p = 0.511
\end{cases}
$$
:::
::: {.column width=33% .c}
$$
\hence \text{Infinite!}
$$
:::
::::
. . .
\vspace{20pt}
Moyal sample:
:::: {.columns}
::: {.column width=33%}
$$
\mu_1
\begin{cases}
\Theta^2 = 106 \\
p = 0.000
\end{cases}
$$
:::
::: {.column width=33%}
$$
\mu_2
\begin{cases}
\Theta^2 = 162 \\
p = 0.000
\end{cases}
$$
:::
::: {.column width=33% .c}
$$
\hence \text{Finite!}
$$
:::
::::