Week_13_Assignment_ITCS_6216

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University of North Carolina, Charlotte *

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6216

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Statistics

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Feb 20, 2024

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docx

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What Is an Outlier? Show drafts An outlier, in statistics and data analysis, is a data point that significantly deviates from the rest of the data . It falls far outside the expected range of values, raising questions about its validity or whether it reflects a different underlying process. Here's a closer look at different aspects of outliers: Identifying Outliers: Distance from the center: Outliers often lie far away from the central tendency measures like mean or median compared to other data points. Boxplots and histograms: Visualizations like boxplots with extreme whiskers or histograms with isolated bars can highlight potential outliers. Statistical tests: Specific tests like Grubbs' test or Dixon's Q-test can help identify outliers based on statistical criteria. Causes of Outliers: Measurement errors: Recording mistakes or instrument malfunctions can lead to inaccurate values. Natural variability: Inherent variation in real-world data can sometimes produce extreme values. Rare events: Uncommon occurrences may not fit the typical pattern of the majority data. Handling Outliers: Investigate: Before discarding or correcting, understand the possible cause of the outlier. Is it a genuine anomaly or an error? Winsorizing: Cap extreme values to a certain threshold instead of removing them completely. Robust methods: Use statistical methods less sensitive to outliers, such as median absolute deviation (MAD). Separate analysis: Analyze outliers separately to understand their unique characteristics. Impact of Outliers: Distort statistics: Outliers can significantly influence calculations like mean or standard deviation, potentially misleading interpretations. Model overfitting: Ignoring outliers might lead models to fit the majority data at the expense of capturing rarer but valid patterns. Overall, understanding outliers is crucial for accurate data analysis. Their presence can offer valuable insights into unusual aspects of your data, but it's essential to handle them carefully to avoid distorting your results.
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