olsEx

Syntax

olsEx(ds, Y, X, [intercept=true], [mode=0])

Arguments

ds a set of data sources stored in a tuple. It is usually generated by the function sqlDS.

Y a string indicating the column name of the dependent variable from the table represented by ds.

X a string scalar/vector indicating the column name(s) of independent variable(s) from the table represented by ds.

intercept is a boolean variable indicating whether the regression includes the intercept. If it is true, the system automatically adds a column of 1’s to X to generate the intercept. The default value is true.

mode is an integer that could be 0,1,2. It indicates the contents in the output. The default value is 0.

  • 0: a vector of the coefficient estimates

  • 1: a table with coefficient estimates, standard error, t-statistics, and p-value

  • 2: a dictionary with all statistics

Details

Return the result of an ordinary-least-squares regression of Y on X. Y and X are columns in a partitioned table.

Note that NULL values in X and Y are treated as 0 in calculations.

Examples

$ n=10000
$ ID=rand(100, n)
$ dates=2017.08.07..2017.08.11
$ date=rand(dates, n)
$ vol=rand(1..10 join int(), n)
$ price=rand(100,n)
$ t=table(ID, date, vol,price)
$ saveText(t, "D:/DolphinDB/Data/t.txt");
$ if(existsDatabase("dfs://rangedb")){
$   dropDatabase("dfs://rangedb")
$ }
$ db = database(directory="dfs://rangedb", partitionType=RANGE, partitionScheme=0 51 101)
$ USPrices=loadTextEx(dbHandle=db,tableName=`USPrices, partitionColumns=`ID, filename="D:/DolphinDB/Data/t.txt");

$ ds=sqlDS(<select vol as VS, price as SBA from USPrices where vol>5>)
$ rs=olsEx(ds, `VS, `SBA, true, 2)
$ rs;

RegressionStat->
item         statistics
------------ ----------
R2           0.000848
AdjustedR2   0.000628
StdError     1.404645
Observations 4535

ANOVA->
Breakdown  DF   SS          MS       F        Significance
---------- ---- ----------- -------- -------- ------------
Regression 1    7.592565    7.592565 3.848178 0.049861
Residual   4533 8943.739298 1.973029
Total      4534 8951.331863

Coefficient->
factor    beta     stdError tstat      pvalue
--------- -------- -------- ---------- --------
intercept 7.953084 0.04185  190.039423 0
SBA       0.001422 0.000725 1.961677   0.049861