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We must be careful when interpreting the meaning of association. Although two variables may be associated, this association does not imply that variation in the independent variable is a cause of variation in the dependent variable (or vice versa). For instance, age and income are usually related. However, a mere increase in age does not cause an increase in income. We can determine the presence or absence of association through statistics. However, there is no basis for concluding that a cause-effect relation exists between these variables.
Statistics Can Lead to Errors The use of statistics can often lead to wrong conclusions or wrong estimates. For example, we may want to find out the average savings by i
need help finding the n1 and s1 in the problem
Multi stage or Cluster Random sampling Under this method, the random selection is made of primary, intermediate and final units from a given population. The area of investigat
The Null Hypothesis - H0: The random errors will be normally distributed The Alternative Hypothesis - H1: The random errors are not normally distributed Reject H0: when P-v
As one of the oldest multivariate statistical methods of data reduction, Principal Component Analysis (PCA)simplifies a dataset by producing a small number of derived
Sampling Error It is the difference between the value of the actual population parameter and the sample statistic. Samples are used to arrive at conclusions regarding the p
(a) Elevation (m) 0 400 800 1200 1600 2000 2400 2800 3200 4000 480
Stratified Sampling Stratified Sampling is generally used when the population is heterogeneous. In this case, the population is first subdivided into several parts (or s
Consider the following game: (a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)? (b) If (top, left) is a Na
Now, let's look at a different linear combination. Suppose we are interested n comparing the average mean log income for no college education ( 16). 1. Write out the linear com
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