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==Explanation==
 
==Explanation==
  
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In classical statistics, {{w|statistical significance}} is used to determine whether a conclusion can be confidently made about the implications of a given set of data. If some data set is determined to be an appropriate sample of a given population, then conclusions can be made by determining trends in the data. Since one can never be completely sure that their data is truly representative, or their statistical analysis completely accurate, calculations of the likelihood of error are made. Once these calculations are made, it can be decided that a given conclusion is statistically significant because it passes a certain threshold for the likelihood of error. Because the statistical analysis that was done concluded that it is significantly more likely that the conclusions made are accurate than inaccurate, these conclusions are termed statistically significant.  
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In classical statistics, {{w|statistical significance}} is used to determine whether a conclusion can be confidently made about the implications of a given set of data. If some data set is determined to be an appropriate sample of a given population, then conclusions can be made by determining trends in the data. Since one can never be completely sure that their data is truly representative, or their statistical analysis completely accurate, calculations of the likelihood of error are made (below p = 0.05). Once these calculations are made, it can be decided that a given conclusion is statistically significant because it passes a certain threshold for the likelihood of error. Because the statistical analysis that was done concluded that it is significantly more likely that the conclusions made are accurate than inaccurate, these conclusions are termed statistically significant.  
  
 
In this case, [[Megan]] has analyzed the amount of time that [[Cueball]] spends with her versus others in his life. Based on the data she has gathered, she constructed a box plot. A box plot is a way to present data that utilizes boxes to show the range that a certain percentage of data points fall into. The boxes denote quartiles, so the large box demonstrates the range between the lowest and highest quartile, and the line in the center of the box denotes the median of the entire data set. The bars extend to the outer limits of the data set, encompassing the highest and lowest points (but excluding outliers). Box plots are useful to show the spread of data, and how it may be skewed. For more on box plots, see {{w|Box plot}}. Megan uses the data she has collected to show that the amount of time that Cueball spends with her is significantly higher than the amount of time he spends with others, since the amount of time they spend together is high enough to be an outlier when she completes a statistical analysis of the time he spends with people in his life.  
 
In this case, [[Megan]] has analyzed the amount of time that [[Cueball]] spends with her versus others in his life. Based on the data she has gathered, she constructed a box plot. A box plot is a way to present data that utilizes boxes to show the range that a certain percentage of data points fall into. The boxes denote quartiles, so the large box demonstrates the range between the lowest and highest quartile, and the line in the center of the box denotes the median of the entire data set. The bars extend to the outer limits of the data set, encompassing the highest and lowest points (but excluding outliers). Box plots are useful to show the spread of data, and how it may be skewed. For more on box plots, see {{w|Box plot}}. Megan uses the data she has collected to show that the amount of time that Cueball spends with her is significantly higher than the amount of time he spends with others, since the amount of time they spend together is high enough to be an outlier when she completes a statistical analysis of the time he spends with people in his life.  

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