Objectives for Basic Statistics
Can I read Box Plots?
Can I create a box plot with various amounts of data? Can I classify data type and levels of measurements? Can I recognize flaws/issues with methods of sampling of data? Do I know the accepted standards of collection of data, use of data, and display of data? How can data be displayed in a misleading way? What percentage make sense in the reporting of statistics? What is a loaded question? How can the order of questions impact bias in data collected and interpretation of data? What is the impact of “nonresponse” in a survey on the validity of conclusions reached from those that do respond? What is the impact of a small sample of data on data interpretation? How can “precise” numbers give a false sense of accuracy when using a survey or sample? Can you explain the differences between “deliberate distortion of data”, “self-interest study”, and a “partial picture” ? Explain the difference between an experiment and an observational study What are the three types of observational studies? Define confounding What are the three considerations that should be used in the design of an experiment or observational study? Can I explain the difference between an experiment and an observational study Can I classify an observational study as (cross-sectional, ,retrospective, or prospective) Do I know what a case control study is ? Do I know what a longitudinal or cohort study is? Can I classify the collection of data as one of the following: (cross-sectional, ,retrospective, or prospective)? Do I understand how to create a single blind study or experiment? Do I understand what a “double-blind” studies or experiments are? Can I define each of the following words and support with a simple example:(confounding, randomization, or replication)? Can I distinguish the difference between a “good” and “bad” experimental design? Do I know what the “placebo effect” is? Can I determine the differences between a completely randomized experimental design and a rigorously controlled design? Do I understand similarities/differences between the following types of samples: (random, simple random, or probability)? Do I understand the similarities/differences between the following sampling methods: (systematic, convenience, stratified, cluster)? Can I establish the source of error as sampling or non-sampling error? Can I determine consistent “width” for a frequency table? Can I determine a cumulative frequency table from a frequency table? Can I determine a relative frequency table from a frequency table? Can I determine which interval (class or bin) the median and mean live in from a frequency table? Can I determine class or bin width properly on a frequency table? Do I know the methods of determining class widths? Can I use technology to create bar graphs, box plots, and summary plots? Can I use TI Nspire to log on and manipulate data in list pages as well as data and statistics pages? Can I determine mean and median from a list of data, frequency table? Can I create frequency polygons using given data sets? Can I find median and mean from a frequency table? Can I distinguish between different types of frequency tables? Can I distinguish the differences between ogive and frequency polygon? Can I create and read frequency polygons and ogives? Can I create a frequency table from a given list of data? Can I create a frequency table from a given list of data and/or frequency table? Can I create a relative, cumulative frequency, and cumulative relative frequency table from a given list of data and/or frequency table? Can I read a Ogive and a Frequency polygon? Can I use a list page of a TI Nspire to perform repetitive tasks? Can I create and read a frequency polygon? Can I create and read an Ogive? Can I use technology to assist in the creation of frequency tables, polygons, and ogives? Can I classify data types? Can I classify data collection methods? Can I discuss survey methods and discuss the appropriateness of methods of collection/reporting of data? Can I read tables, charts, and graphs related to given data? Can I create tables, charts, and graphs related to given data? What is a summary plot? What is a pie chart? What is a histogram? Can I convert large lists of data into a box and whisker plot, dot or bar chart, summary plot, and a pie chart? Can I determine the mean of a set of data? Can I determine the median of a set of data? Can I determine the mode of a set of data? Can I write a set of data that has two or more modes? Do I know what the midrange is and how to determine it from a given set of data? Can I use the TI Nspire to create three types of plots default to the TI Nspire (box plots, histogram, and dot plots)? Can I use the TI Nspire to create a summary plot (bar chart and pie chart)? Can I use the TI Nspire to read displays of data to answer questions about central tendency? Do I know the differences between the three types of central tendency? Can I tell if data is positively skewed, negative skewed, or symmetrical? Can I calculate the mean from a frequency table? Can I calculate a weighted mean? Can I recognize skewed data from there central tendency? Can I use the TI Nspire to determine the sample and population standard deviation and variance? Do I understand the difference between sample and population variance, including its notation? Do I understand the difference between sample and population standard deviations? Can I use the proper notation when determining the sample and population variation and standard deviation? Can I use the TI Nspire to determine the sample and population standard deviation and variance? Do I understand the difference between sample and population variance, including its notation? Do I understand the difference between sample and population standard deviations? Can I use the proper notation when determining the sample and population variation and standard deviation? Can I use TI Nspire to determine the one var statistics more quickly? Can you tell if a set of data is positively skewed, negatively skewed, or symmetric? Do you understand the connections between the mean of data and its median in the nature of skewed data? Can you recognize a histogram that is positively skewed, negatively skewed, or symmetric? What is an outlier? Do you know what the two formulas for standard deviation and variation tell us to do? Can I perform standard deviation and variation of a list of 5 to 6 data points with only a scientific calculator? Can I determine if data is positively and negatively skewed? What is symmetric data? Can I determine the 7 “special” values associated with normal curve? Can I use an Integral with TI Nspire to determine the area under a curve? Can I determine the area under a curve using integral feature or the normal CDF feature? Can I determine a Z score when given specific x scores and mean and standard deviation? Can I determine the area under a curve using integral feature or the normal CDF feature, specifically to find a left or right tail? Can I determine a Z score when given specific x scores and mean and standard deviation? Can I find area under a normal curve without a graphing calculator using Z-chart? Do I understand the connections between both sides of the z chart? Do I understand how to read and round to and from the z chart? Can I graph both x scores and z scores on a normal curve? Do I know the mean and standard deviation from the z –chart? Can I use normal curve in basic applications and probabilities? Can I use “negative” space/ complement of an event to find an area or probability? Do I understand the connection between positive and negative z scores? Can I determine the probabilities related to an application that follows a normal distribution? Can I find all of the areas related to a normal curve with two given x values are discussed? Can I use proper set notation and inequality notation when describing the solutions of a probability or area problems related to the normal curve? Can I solve basic application problems related to the normal curve? Do I know the 68/95/99.7 Rule as it relates to the normal curve? Can I determine any area under the curve related to the 68/95/99.7 Rule? Can I use the z chart to determine what z scores are related to a given area under a curve? Can I determine x values related to an application problem that has a tolerance stated using a z chart? Can I determine related x values to a given area and a stated x value when given the mean and standard deviation? Can I recognize the different types of correlation? Can I plot a set of coordinates using the scatter plot method? Can I add a moveable line and determine its equation? Can I write an equation of a line from a pair of points? Can I predict behavior using a linear regression model? Do I know when I should trust output of a regression mode? Can I write a probability statement from an application problem related to a normal curve? Can I write a probability statement from a normal curve’s graph? Can I use the InvNorm Feature? Can I determine the regression equation and correlation coefficient from a list of data? Can I apply linear regression? Can I build a quadratic regression model with technology? Can I determine which regression model is better for a particular set data? |
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