Update draw2Sample_README.md

draw2Sample_README.md

@@ -7,7 +7,7 @@ https://github.com/YujiSODE/draw2Sample
 >See LICENSE or http://opensource.org/licenses/mit-license.php
 ______
 
-##Concept
+## Concept
 ![Concept of graphical sampling:draw2Sample_Fig.png](./draw2Sample_Fig.png)  
 __Figure 1. Concept of graphical sampling.__ _f_ (_x_) is a graph drawn on graphical data (_W_ x _H_ px).
 
@@ -19,16 +19,16 @@ and
 RGBA color value in a pixel is available in order to recognize the shape of the graph.  
 The alpha value is used in this program; a pixel where alpha > 0 is regarded as graph.
 
-##Script
+## Script
 * draw2Sample.js
 * \[v1.2+\] pValue.js
 
-##How to generating values following a given distribution
+## How to generating values following a given distribution
 1. __"Sample (_Sp_)":__ ["Rnd"](#output-data) in the result output of "draw2Sample.js"  
 2. __Generating target values;__ the target values are obtained with bootstrap Method (Efron,1979) via _Sp_.
 3. __\(Optional \[v1.2+\]\) Estimating _p_-value;__ _p_-value is estimated with "pValue.js" via _Sp_.
 
-##How to use
+## How to use
 * call "draw2Sample()" in a html file with img/canvas tag.
 * \(Optional \[v1.2+\]\) call "_pValue()" of "pValue.js", in order to estimate _p_-value; (see [__Estimating _p_-value__](#v12-estimating-p-value) for details of prameters).
 
@@ -43,7 +43,7 @@ The alpha value is used in this program; a pixel where alpha > 0 is regarded as
 3. __Sampling__  
    The sampling from the given graph (2.) is run with __"Run sampling" button__, and the result output is shown in __"Result"__.  
 
-   ####_Inputs and buttons_  
+   #### _Inputs and buttons_  
    * __"Target width":__ the target sampling area, expressed with left side x coordinate (x0) and width (w), shown in red.
    * __"Sampling interval";__ it sets how many times the given graph (2.) is sampled in a given target area, starting with x0.
    * __"Range of values":__ the true x-coordinate values in the target sampling area, expressed with left side (v0) and right side (v).
@@ -58,14 +58,14 @@ The alpha value is used in this program; a pixel where alpha > 0 is regarded as
    * __"Email address":__ email address used outputting __"Result"__ as email format.
    * __"Output as email" button;__ it saves the __"Result"__ as email to given address.
 
-   ####_Output data_  
+   #### _Output data_  
    * __dataLog:__ csv formatted values expressed as _n_@_y_ for a _n_-th sampling result: _y_ with top left corner as origin.
    * __*x*@*f(x)*:__ csv formatted values expressed as _x_@_f_ (_x_) for a value of _f_ (_x_) at _x_ with bottom left as origin.
    * __Rnd:__ csv formatted values estimated as results of a sampling.
 
 ______
-##\[v1.2+\] Estimating _p_-value
-####__"pValue.js"__
+## \[v1.2+\] Estimating _p_-value
+#### __"pValue.js"__
 * Probability estimator with given numerical data and bootstrap Method (Efron,1979) on Firefox.  
 `_pValue(data,x,sampleSize,simulation)`  
 `/*`  
@@ -79,26 +79,26 @@ ______
 _p_-value is estimated as probability on v-axis: _P_(`x`) = _P_(_v_ >= `x`).  
 The estimation is based on resampled data with size (`sampleSize`) for n-time (`simulation`) simulations.
 
-####Examples
+#### Examples
 Script 1: `_pValue('1,2');` the result: `{"p":0.504,"x":1.75,"sampleSize":100,"simulation":10}`  
 Script 2: `_pValue('1,2,3');` the result: `{"p":0.323,"x":2.5,"sampleSize":100,"simulation":10}`  
 Script 3: `_pValue('1,2,3',1.1);` the result: `{"p":0.676,"x":1.1,"sampleSize":100,"simulation":10}`  
 Script 4: `_pValue('1,2,3',2,10,1);` the result: `{"p":0.6,"x":2,"sampleSize":10,"simulation":1}`
 
 ______
-##Example with the standard normal distribution
-###Script used for drawing graph
+## Example with the standard normal distribution
+### Script used for drawing graph
 * stdNormDist100pt.js
 
-###Sampling parameters
+### Sampling parameters
 `/*Fri_Sep_09_2016_17:01:16_GMT+0900_(JST),Sampling interval:20,Size: W x H = 400 x 400 px*/`
 
 ![Sampling example with the standard normal distribution by script:stdNormDist_scriptOutputAll.jpg](./stdNormDist_scriptOutputAll.jpg)  
 __Figure 2. Sampling example with the standard normal distribution by script.__ Blue and red lines show a graph  
 of the standard normal distribution by script and a recognized distribution respectively. Vertical lines show where  
 sampled from blue graph.
 
-###1-sample t-test
+### 1-sample t-test
 The sampled size by "draw2Sample.js": `<Sample size:2527>`
 
 1. `[Resampled size:100;Given mean:0;Simulation:100times;Significance level:0.025]`  
@@ -108,7 +108,7 @@ The sampled size by "draw2Sample.js": `<Sample size:2527>`
 3. `[Resampled size:20;Given mean:0;Simulation:10000times;Significance level:0.025]`  
    Result: `Rejection rate:0.0146`
 
-###_p_-value estimation
+### _p_-value estimation
 The sampled size by "draw2Sample.js": `<Sample size:2527>`  
 _p_-value was estimated as probability on v-axis: _P_(`x`) = _P_(_v_ >= `x`).
 
@@ -118,8 +118,8 @@ _p_-value was estimated as probability on v-axis: _P_(`x`) = _P_(_v_ >= `x`).
 4. _P_(1.96): `{"p":0.028,"x":1.96,"sampleSize":100,"simulation":10}`
 
 ______
-##Reference
+## Reference
 * Efron, B. 1979. Bootstrap Methods: Another Look at the Jackknife. Ann. Statist. vol. 7, no. 1, p. 1-26.
 
-##\[1.2+\] Library list
+## \[1.2+\] Library list
 * bootstrapEst-2.1/bootstrapMdl.js (Yuji SODE,2016): the MIT License; https://github.com/YujiSODE/bootstrapEst