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Chapter 6: Analyzing Data Qualitative Data Analysis Quantitative Data Analysis Analyzing Data: Qualitative Qualitative Data Analysis Techniques Inductive Analysis Using Computer Software Guidelines For Reporting Analyzing Data: Quantitative Quantitative Data Analysis Techniques Descriptive Statistics Inferential Statistics Using Computer Software Guidelines for Reporting Qualitative Data Analysis Techniques:  An inductive process: (1) Begin w/ specific observations (2) Note patterns (3) Formulate tentative hypothesis (4) General conclusion; theory  View phenomena from holistic perspective, factoring in setting, participants, unique context (Parson & Brown, 2002) Qualitative Data Analysis: Inductive Analysis  Reduce large volumes of information.  Organize the data into important patterns and themes.  Being careful not to minimize, distort, oversimplify, or misinterpret data (Schwalbach, 2004).  "Systemically organizing & presenting findings...in ways that facilitate understanding of data."(Parsons & Brown, 2002) Qualitative Data Analysis: Inductive Analysis  Coding Scheme: Ways to organize categories of information; repeated words or phrases. (Mills, 2003; Schwalbach, 2003)  Knowing Your Data: Reading, rereading, process can be laborious.  Describe Characteristics of Categories  Connections between data and research questions begin to emerge. Qualitative Data Analysis: Inductive Analysis  Reflection: Describe categories in terms of their connection to or ability to understand my research question.  Conflicting Data: Information that 'conflicts' with patterns.  Interpret: Examination of events, behaviors, or observations by category.  Introspection, Constant Comparisons. Qualitative Data Analysis: Inductive Analysis  Using Computer Software  Keyword: 'assist'  Can help 'sort' information using electronic 'coding' scheme.  Useful for large amounts of data.  Specialized software.  May need assistance w/ process. Quantitative Data-analysis  Descriptive Statistics: Simple, mathematical procedures used to summarize and organize relative large amounts of numerical data: (1) Measures of central tendency (2) Measures of dispersion (3) Measures of relationship Measures of Central Tendency  Mean: arithmetic average of a set of scores. May be necessary to drop 'outliers' to get reliable mean.  Median: specific score in the data set that separates the entire distribution in equal halves.  Mode: most frequently occurring score in a data set. Measures of Dispersion  Measures of Dispersion: Indicate how much 'spread' or diversity exist within a group of scores.  Range: Distance between highest and lowest score.  Standard Deviation: Average distance of scores away from the mean. 'SD' impacted by 'extreme' scores. Measures of Relationship  Correlation Coefficients: measures of direction and degree of relationship between two variables.  Strong: 1.00 -- .70 (+ or -)  Moderate: .70 -- .30 (+ or -)  Weak: .30 -- .00 (+ or -)  Direction and Strength of relationship between two variables. Visual Representations  Bar Graph  Pie Chart  Histogram  Frequency Distribution Table  Visual way to understand large amounts of data. Inferential Statistics  Inferential Statistics: 'Infer' how likely a given statistical result from a 'sample' applies to an entire population.   Independent Measures 't' Test: used for 'two group' (treatment and control). Data are compared on a common dependent variable (such as a test score). Mean scores for two groups are compared to see if differences are 'statistically' significant. If difference is 'SS' then there is a 'true' difference btw groups. Inferential Statistics  Repeated Measures 't' Test: More than one test score is taken on the same person in an study.  'Practical' Significance: subjective decision of significance determined by looking at practical factors.  P-value: indicates probability of chance occurrences in the study. Inferential Statistics  Alpha level (a): typically set at 0.05 in educational research studies. Reasonably certain that only 5% of time would differences we obtain between two 'means' be due to chance -- thus representing no 'real' difference between the groups.  If p < a than the difference is statistically significant. Why? Inferential Statistics  Is there a Statistically Significant Difference?  Reject the Null Hypothesis: (double negative) Null Hypothesis says: NO difference between the groups. So, if we REJECT the Null -- it means THERE ARE SIGNIFICANT DIFFERENCES BETWEEN THE GROUPS -- the intervention' made a difference. (HOORAY!)  Fail to Reject the Null Hypothesis: (triple negative) = NO significant differences between the groups. (Project 'failed') Inferential Statistics  Analysis of Variance (ANOVA): variation of independent 't' test: (or 'True Statistically Significant Differences' test). Used when there are more than two 'groups' being compared.  Chi-square Test: Used when looking at 'frequency' counts in data, not scores.  Ex: Number of boys or girls who... Using Computer Software  'StatCrunch' -- web-based data analysis software system - Univ. of S. Carolina.  Fire Up 4.0 Beta! link  Interactive Java window.  Feel free to 'experiment' if you are interested!  Other software available. Reporting the Results of Qualitative Research  How do I present the results of my research most effectively?  Consider needs of audience.  Make every effort to be impartial.  Watch 'value judgments.  Keep conclusions 'tentative'.  Provide examples and samples. Qualitative Research Format:  Introduction  Review of related literature  Description of innovation/intervention  Data collection and considerations  Data analysis and interpretations  Conclusions  Reflection and Action Plan Reporting the Results of Quantitative Research  APA format for reporting numbers.  Present numerical information in descending order from largest to least.  Report total number before small categories are described.  Use tables to organize large sets of numbers or data.  Use graphs to illustrate numerical data. References: 1) Mertler, C. A. (2012). Action Research: Improving Schools and Empowering Educators, 3rd ed. Los Angeles, CA: Sage Publishers,