Which of the following conditions is not necessary for ordinary least squares to be the best unbiased linear estimator (BLUE)?
The Ordinary Least Squares (OLS) method is used to estimate the parameters in a linear regression model. For the OLS estimator to be the Best Linear Unbiased Estimator (BLUE), it must satisfy the Gauss-Markov assumptions. These assumptions are: 1. Linearity : The relationship between the independent variables and the dependent variable is linear. 2. Random Sampling : The data is obtained through a random sample of the population. 3. No Perfect Multicollinearity : There is no perfect multicollinearity between the independent variables. 4. Zero Conditional Mean : The errors have an expectation of zero given any value of the independent variables. 5. Homoscedasticity : The errors have constant variance (σ2). 6. No Autocorrelation : The errors are uncorrelated with each other. Given these assumptions, the condition that is not necessary for OLS to be BLUE is: (a) All errors are normally distributed Normality of the errors is not required for the OLS estimator to be BLUE according to the Gauss-Markov theorem. Normality is only necessary if we want to make specific inference statements (like t-tests and F-tests) or for the errors to follow a normal distribution.
If A ÷ B means that A is the brother of B, A × B means that A is the sister of B, A – B means that A is the father of B then which of the following ...
'A + B' means 'A is the father of B'. 'A - B' means 'A is the son of B'. 'A ÷ B' means 'A is the daughter-in-law of B'. 'A X B' means 'A is married to ...
A $ B' means 'A is the daughter of B'. 'A % B' means 'A is the father of B'. 'A & B' means 'A is the brother of B'. 'A # B' means 'A is married to B'. I...
If A%B means ‘A is daughter of B’ A@B means ‘A is wife of B’ A$B means ‘A is son of B’ A#B means ‘A is brother of B’ then in expression ...
Statements : X = E > U, T ≥ V > W, E > W = U
Conclusions : I. T >U II. X ≥ V
If 'A+B' means 'A is daughter of B', 'A-B' means ‘A is wife of B', ‘A × B' means 'A is the son of B', if P× Q-S then which of th...
If A – B means that A is the mother of B, A + B means that A is the father of B, A ÷ B means that A is the sister of B, then which of the following ...
If G @ H & I % J @ L ^ K then how is J related to H?
Which of the following expression represents “B is aunt of D?
If expression C % E $ A @ B & O # F @ G is true, then which of the following expressions is definitely correct?