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Does Having a Strong Defense Make you an NBA Playoff Teams - Essay Example

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Jeremy DeLong Swati Econometrics 14 December 2011 Does Having a Strong Defense Makeyou an NBA Playoff Team? Statistics offer an avenue upon which conclusions can be drawn upon a number of aspects within society (Pagano 76). A key area that has benefitted from statistics is in evaluation of the relationship between two or more variables (Howell 54)…
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Does Having a Strong Defense Make you an NBA Playoff Teams
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Data have been obtained from the website, EPSN.com (http://espn.go.com/nba/standings/_/year/2010). According to this paper, a strong defense is equated to registering lower scores against for the respective teams, while entering the NBA playoffs is measured based on the percentage of wins registered by a team. For the purposes of this research, it will be assumed that a team qualifying for the play is supposed to win at least 60% of its games. However, this assumption will only be used for the purpose of developing descriptive statistics to use in this research.

The descriptive statistics in relation to the percentage of wins registered by the respective teams are provided below. Although the table provides descriptive statistics for both variables, this section will focus on the variables relating to percentage of wins registered by the respective teams. This is considered a key determinant of any team that managed to make the playoffs. See the table below for the descriptive statistics on this matter. Descriptive statistics N Minimum Maximum Mean Std. Dev. Variance Skewness Statistic Statistic Statistic Statistic Statistic Statistic Statistic Std. . Considering that the results used in this study came from one season, they cannot be conclusively said to represent all seasons.

For this reason, a t-test is performed to evaluate the results of a larger sample at various confidence intervals. One-Sample Test (95% confidence) Test Value = 0 t df Sig. (2-tailed) Mean Difference 95% Confidence Interval of the Difference Lower Upper Percentage wins by the teams 17.046 29 .000 .50000 .4400 .5600 From the table above, at a 95% confidence level, the average percentage of wins is expected to be within .4400 and .5600. One-Sample Test Test Value = 0 t df Sig. (2-tailed) Mean Difference 90% Confidence Interval of the Difference Lower Upper Percentage wins by the teams 17.046 29 .000 .50000 .4502 .

5498 At a 90% confidence level, it is expected that the mean will be within the range of .4502 to .5498. One-Sample Test Test Value = 0 t df Sig. (2-tailed) Mean Difference 99.9% Confidence Interval of the Difference Lower Upper Percentage wins by the teams 17.046 29 .000 .50000 .3927 .6073 At a 99.9% confidence level, it is expected that the mean will be located between .3927 and .6073. One-Sample Test Test Value = 0 t df Sig. (2-tailed) Mean Difference 99% Confidence Interval of the Difference Lower Upper Percentage wins by the teams 17.046 29 .000 .50000 .4191 .

5809 At a 99% confidence level, it is expected that the mean will fall within .4191 and .5809 Testing hypothesis At the hypothesis stage, it was presumed that teams that made the playoffs recorded at least a winning percentage of 60% within a season. The hypotheses described below are therefore based on this assumption. These include:         H0: 40          H1: 40  The test for this hypothesis is based on 30 teams. According to the findings, the mean

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