6. Regarding the random experiment and sample space, which of the following statements is correct? a. In a random experiment, we have no idea what outcome would be. b. If we repeat a random experiment , times, the collection of these n outcomes would form a sample space. c. Even before a random experiment is performed, we know that the outcome must be one of those in the sample space. d. In a random experiment, all outcomes in the sample space are equal likely to happen.A randomized block experiment has been carried out in 4 blocks with 5 treatments A, B, C, D and E. Derive the expected value of mean sum of squares due to errors in the above design. An experiment was carried out on wheat with three treatments in four randomised blocks. Complete the following table for the analysis of variance of a fixed effects randomised block design: Source of Degrees of Sum of Mean sum of Variance variation freedom squares squares ratio Blocks 3 6.67 Treatments 2 Error 2.22 Total 28 Test the hypothesis that the treatment effects are equal to zero, showing all the steps in the general test procedure. (Foos (2, 6) = 5.14, Foos (3, 6) = 4.76)A randomised block experiment produced the data listed below. Treatment Block OOAA N a) Conduct F-tests at the 5% significance level to find out whether (i) the treatment means differ; (ii) the block means differ. 2. (b) Conduct a Friedman test at the 5% significance level to determine whether the treatment medians (central locations) differ. 3. (c) Are the required conditions of the Friedman test valid this time?1. Which requirements are necessary for an IV regression? (a) The instrument is independent of the structural error (b) The first stage is strong (c) There are at least as many instruments as endogenous variables (d) All of the above 2. Scenarios arising which allow diffierence in difference or instrumental variable regression are often referred to as natural experiments. Which of the following is true of a natural experiment? (a) A natural experiment occurs when some endougenous event charges the environment in which individuals, families, firms and cities operate (b) The control group in a natural experiment is randomly chosen (c) The treatment group in a natural experiment is randomly chosen (d) Control and treatment groups in a natural experiment arise due to an exogenous eventD Question 7 3 pts Which of the following is true of a natural experiment? C) A natural experiment occurs when some endogenous event changes the environment in which individuals, families, rms. or cities operate. Q The control group in a natural experiment is ra ndomly chosen. Q Control and treatment groups in a natural experiment arise clue to an exogenous event. Q The treatment group in a natural experiment is randomly chosen. Question 8 3 pts The general approach to obtaining fully robust standard errors and test statistics in the context of panel data is known as . Q differencing Q confounding Q clustering Q attenuating
