Suppose we want to test the null hypothesis H0 that the data X1 Cheap Kareem Abdul-Jabbar Jersey , . . . , XN is a sample from some unspecified distribution. Permutation tests are tests of this hypothesis in which the p-value is computed conditional on knowing the set S of data values observed but without knowing which data value corresponds to X1, which corresponds to X2 and so on. For instance, if N = 3 and X1 = 5, X2 = 7, X3 = 2, then the p-value is computed conditional on the information that the set of data values is S = {2, 5, 7}.
P-value makes use of the fact that, conditional on the set of data values S, each of the N! Possible ways of assigning these N values to the original data is equally likely when the null hypothesis is true. That is, suppose that N = 3 and the set of data values is, as in the preceding, S = {2, 5, 7}. Now the null hypothesis H0 states that X1, X2, X3 are independent and identically distributed. Consequently, if H0 is true then, given the data set S, it follows that the vector (X1, X2, and X3) is equally likely to equal any of the 3! permutations of the values 2, 5, 7.
Permutation tests are also useful in the two-sample problems where we test whether samples from two populations have the same underlying distribution. Specifically, let X1, . . . , Xn be a sample from an unknown population distribution F, and let Xn+1, . . . , Xn+m be an independent sample from an unknown population distribution G, and suppose we want to use these data to test the hypothesis that the two population distributions are identical against the alternative hypothesis that data from the second distribution tend to be larger than those from the first. That is, we want to use these data to test the null hypothesis
H0: F = G , against the alternative H1: data from G tend to be larger than data from F
If the data values are Xi = xi, i = 1, . . . , n+m, then a permutation test of the preceding null hypothesis is done conditional on knowing S = {x1, . . . , xn+m}, the set of these n + m numbers in no particular order. Then if H0 is true, and so all n + m random variables X1, . . . , Xn+m are independent and identically distributed, then given the set of values S, each subset of size n of this set is equally likely to be the set of the data values of X1, . . . , Xn. Because the alternative hypothesis is that data from the population distribution F tend to be smaller than data from the population distribution G, a reasonable test would be to reject the null hypothesis if the sum of the data values from the population distribution F is smaller than might be expected by chance when n values are randomly chosen from the data set S. Think about this for a second. If you went and gathered all of your MLM tools in your network marketing business and laid them out in a neat row and prioritized them, how would you rate them?
As an experience network marketer who is leveraging the internet within their business. One of your tools probably is your computer and internet service. The faster the speed of the internet, the faster the work gets done, right? So this would definitely rank in the top 10.
Next, you would want to look at all the MLM tools you purchased for your business. Once you comb through all your manuals, books, CD?s and DVD to help motivate and enlighten you, you probably will choose the ones that held the best and most informative information. Our leaders always tell us it is about having a positive mindset and developing the skills to do network marketing, so these would rate way up on the scale. Not saying that this is incorrect, but it is not the most important tool.
Lastly, you look at all the things you need for a business presentation. You have your PowerPoint all ready to go: check. Your laptop is fully charged: check. You have some applications available to pass out: check. The room is clean and ready for your meeting: check.
So, what are you forgetting? With everything lined up and ready to go and you have rated your MLM tools by importance, you must be on the fast track to money. Wrong. You forgot the most important piece to the puzzle. You forgot about the people.
Network marketing is all about people and building relationships with people. Without the soft skills necessary like confidence, mindset, trustworthiness, honesty, integrity; you won?t get very far. So a lot of the importance lies on your shoulders, but it is the people who can make or break a business. People can be the people you are looking at as prospective business partners to people who are on your team already. Let?s break this down by each of those categories.
The people you are talking to about business, the ones that you are interesting is helping, should be one of the most important thing on your list. They are what drive your business to either success or failure. One of the most important MLM tools you own is your ability to relate to those people. The good news with that is a lot of that can be learned. You don?t have to be a naturally outgoing, social creature although it tends to help, even that can be learned. Learning TRUE confidence in what you are doing will help you along the way as will learning your trade. So you can learn that part, the only part you really can?t learn with this is the ?want? part. You have to want to learn these skills to better yourself or it will never happen.