Dear Statalist
(I use Stata 11)
I want to calculate the significance of a coefficient using a two tailed t-test and another using a one tailed t-test in the following regression model:
y= a+ b1 pos_special items + b2 BV
I use a fixed effect panel data technique to estimate the model and run the following commands:
xtreg y pos_special items BV, fe
**I obtain the following output:
Fixed-effects (within) regression Number of obs = 15457
Group variable: firmid Number of groups = 5449
R-sq: within = 0.0021 Obs per group: min = 1
between = 0.0053 avg = 2.8
overall = 0.0010 max = 19
F(2,10003) = 10.60
corr(u_i, Xb) = -0.0627 Prob > F = 0.0000
------------------------------------------------------------------------------
F.dcesur | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
pos_siW | .2312587 .1271344 1.82 0.069 -.0179504 .4804678
bv | -.0056147 .0013331 -4.21 0.000 -.0082279 -.0030015
_cons | .0659563 .0020179 32.69 0.000 .0620009 .0699117
-------------+----------------------------------------------------------------
sigma_u | .13057331
sigma_e | .19472136
rho | .31018181 (fraction of variance due to u_i)
------------------------------------------------------------------------------
F test that all u_i=0: F(5448, 10003) = 1.01 Prob > F = 0.3696
** My aim is to use a two tailed t-test for the coefficient on BV. Since the t statistics reported by Stata, by default, are based on two sided test , then BV is staistically significant at all conventional levels. For pos_siW , the predicted value is (+) and I use a one tailed t test (right side) to test its significance, therefore I run the following commands to calculate critical values based on a one tailed test and a degree of freedom 15454 that I calculate as N-K ( where N=15457 based on the number of observations from the output above , and K is the number of the regression coefficients 3 (including the constant, right ? ) :
. display invttail(15454, 0.01)
2.3265892
. display invttail(15454, 0.05)
1.6449522
. display invttail(15454, 0.10)
1.2816063
Since t statistics for pos_special items is 1.82 > 1.6449522 and also > 1.2816063 , pos_special items is both positive and significant in the model
my questions are:
1- Do I calculate the df correctly ?
2- Is this the right way to determine the significance of the variable using a one tailed test ?
3- Are there any other methods?
Thanks
(I use Stata 11)
I want to calculate the significance of a coefficient using a two tailed t-test and another using a one tailed t-test in the following regression model:
y= a+ b1 pos_special items + b2 BV
I use a fixed effect panel data technique to estimate the model and run the following commands:
xtreg y pos_special items BV, fe
**I obtain the following output:
Fixed-effects (within) regression Number of obs = 15457
Group variable: firmid Number of groups = 5449
R-sq: within = 0.0021 Obs per group: min = 1
between = 0.0053 avg = 2.8
overall = 0.0010 max = 19
F(2,10003) = 10.60
corr(u_i, Xb) = -0.0627 Prob > F = 0.0000
------------------------------------------------------------------------------
F.dcesur | Coef. Std. Err. t P>|t| [95% Conf. Interval]
-------------+----------------------------------------------------------------
pos_siW | .2312587 .1271344 1.82 0.069 -.0179504 .4804678
bv | -.0056147 .0013331 -4.21 0.000 -.0082279 -.0030015
_cons | .0659563 .0020179 32.69 0.000 .0620009 .0699117
-------------+----------------------------------------------------------------
sigma_u | .13057331
sigma_e | .19472136
rho | .31018181 (fraction of variance due to u_i)
------------------------------------------------------------------------------
F test that all u_i=0: F(5448, 10003) = 1.01 Prob > F = 0.3696
** My aim is to use a two tailed t-test for the coefficient on BV. Since the t statistics reported by Stata, by default, are based on two sided test , then BV is staistically significant at all conventional levels. For pos_siW , the predicted value is (+) and I use a one tailed t test (right side) to test its significance, therefore I run the following commands to calculate critical values based on a one tailed test and a degree of freedom 15454 that I calculate as N-K ( where N=15457 based on the number of observations from the output above , and K is the number of the regression coefficients 3 (including the constant, right ? ) :
. display invttail(15454, 0.01)
2.3265892
. display invttail(15454, 0.05)
1.6449522
. display invttail(15454, 0.10)
1.2816063
Since t statistics for pos_special items is 1.82 > 1.6449522 and also > 1.2816063 , pos_special items is both positive and significant in the model
my questions are:
1- Do I calculate the df correctly ?
2- Is this the right way to determine the significance of the variable using a one tailed test ?
3- Are there any other methods?
Thanks
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