tailieunhanh - Engineering Statistics Handbook Episode 1 Part 11

Tham khảo tài liệu 'engineering statistics handbook episode 1 part 11', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | . Measures of Location Alternative A few of the more common alternative location measures are Measures of 1. Mid-Mean - computes a mean using the data between the 25th Location and 75th percentiles. 2. Trimmed Mean - similar to the mid-mean except different percentile values are used. A common choice is to trim 5 of the points in both the lower and upper tails . calculate the mean for data between the 5th and 95th percentiles. 3. Winsorized Mean - similar to the trimmed mean. However instead of trimming the points they are set to the lowest or highest value. For example all data below the 5th percentile are set equal to the value of the 5th percentile and all data greater than the 95th percentile are set equal to the 95th percentile. 4. Mid-range smallest largest 2. The first three alternative location estimators defined above have the advantage of the median in the sense that they are not unduly affected by extremes in the tails. However they generate estimates that are closer to the mean for data that are normal or nearly so . The mid-range since it is based on the two most extreme points is not robust. Its use is typically restricted to situations in which the behavior at the extreme points is relevant. Case Study The uniform random numbers case study compares the performance of several different location estimators for a particular non-normal distribution. Software Most general purpose statistical software programs including Dataplot can compute at least some of the measures of location discussed above. HOME TOOLS AIDS I SEARCH BACK NEXTl s EMATECH http div898 handbook eda section3 5 of 5 5 1 2006 9 57 12 AM . Confidence Limits for the Mean This simply means that noisy data . data with a large standard deviation are going to generate wider intervals than data with a smaller standard deviation. Definition Hypothesis Test Sample Output for Confidence Interval To test whether the population mean has a specific value

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