Measures of Central Tendency • • Provides a very convenient way of describing a set of scores with a single number that describes the performance of a group “Center of the Data” How to get the median: Arrange the data from highest to lowest. If ODD the middle score is the median If EVEN, add the two middle scores then divide it to 2. The Mean – the arithmetic average The Mode - Most frequent score or value in the distribution. • • • • • • • • Used when data are in interval or ratio Affected easily by EXTREME scores Not necessarily an actual score Important when finding SD, Variance, Skewness Ideal for small set of scores Development of Assessment Tools: Knowledge and Reasoning Important Steps in Planning for a Test • Weighted Mean - Value or score multiplied assigned to it in order to indicate its relative importance. Grand Mean - Combined mean of sample means taken from same, or different population. Ex.: Sample means: 85, 81 79, 76, 74, Sample Sizes, 20, 30, 40, 30, 30 =20(85)+30(81)+40(79)+30(76)+30(74) 20+30+40+30+30 = 11,790 150 = 78.60 The Median - Middle most score or value in a distribution. • • • • • Used when data is in ordinal level of measurement When the middlemost score is desired There are EXTREME scores A Positional Measure Not necessarily an actual score in the distribution Used when quick answer is needed Data is in nominal level Unimodal, Bimodal, Trimodal • Identify Test Objectives o Blooms Taxonomy (make test targets) o The Students must be able to identify the subject and verb regarding S- V agreement in a sentence o The students must be able to determine the appropriate form of a verb to be used given the subject of a sentence o The students must be able to write sentences observing rules on subject verb-agreement o The students must be able to break down a given sentence into its subject and predicate o The students must be able to formulate rules to be followed regarding subject and predicate o What type of Objective test to be prepared o Deciding what type of Objective Test ▪ Essay - used for assessing Higher Order Thinking Skills ▪ Multiple Choice- Recall, Analysis, Problem Solving Etc. ▪ Identification – usually for recall ▪ True or False – usually for recall ▪ Analogy – Ideal for Analysis • • • Preparing the TOS Constructing the draft test items Try out, Item analysis, validation Construction of a TOS 1. List down Topics covered by the test 2. Remember the number of days/hours used for teaching a particular topic 3. Determine the percentage allocation of test items 4. Determine the number of items to construct for each topic 5. Distribute the number of items to the objectives RULE OF THE THUMB WHEN MAKING T-F TESTS Rule 1: Do not give a hint in the question Rule 2: Avoid using words like “always”, “never” other adverbs that tend to be either always true false Rule 3: Avoid SUUUUUPER long sentences Rule 4: Avoid trick statements, misleading words or spelling mistakes Rule 5: Avoid quoting verbatim from reference materials or textbooks Rule 6: Avoid Specific determiners ( strongly worded statements are more likely false than true) Rule 7: Avoid Grossly disproportionate number of true or false statements/ patterns Multiple Choice Tests Guidelines for Making Multiple Choice Tests Rule 1: Do not use vague/unfamiliar words, terms, phrases Construction of Test Items TEST DIRECTION IS VERY IMPORTANT!!!!! 1. Assume that your students know nothing about the test objective 2. Emphasize the important directions /activities 3. Keep directions as uniform as possible Item Analysis and Try-out Constructing a True-False Tests Your Main Concern? A- Discriminate those who know versus those who are guessing Rule 2: Do not use modifiers that are vague Rule 3: Avoid complex/awkward word arrangements Rule 4: Do not use double negative Rule 5: Make your question as short as possible Rule 6: Distractors should be equally attractive and plausible Rule 7: The longest option is the best answer? Rule 8 : All choices should be grammatically consistent with the Stem Rule 9: Avoid Stems that reveal answers to another item Rule 10: Avoid alternatives that are synonymous with others Rule 11: None/ All of the Above - Remember to use None of the above only when there is a totally correct answer Matching Type Matching Type Items - Can be considered as modified multiple choice test How to make a Good Matching Type Test • • • Be sure that the whole matching type test is found on a single page Make sure that the premise and the response belong to same category Other Common practices in making tests should apply Fill in the Blanks ( Completion Test) • • Depends heavily on the way stems are constructed Usually used to test LOTS Identification Items -an unknown specimen is to be identified by name or other criterion Writing Analogy Items Analogy Items • • • The pattern of relationship in the first pair of words must be the same for the second one All items should be grammatically consistent Options must be related to correct answer 10. Reorganization of facts What Makes it difficult? 1. Question Construction 2. Reader Reliability Scoring Essay Test • • • • Prepare in advance a detailed ideal answer Holistic Scoring - Total score is assigned to a question ( Outstanding, Very Satisfactory, Fair, Poor) Relies on teacher’s impression/over all assessment Analytic Scoring - scored in terms of components Rules of the Thumb when making an Essay Test 1. Phrase the directions in such a way that students are guided on the Key concepts that needs to be included Guidelines in making an Essay Test Rule 2: The students need to be informed on how you will score their essay Rule 3: Put a time limit Rule 4: Decide on your essay grading system prior to getting the essay of your class Rule 5: Evaluate all of the students answers to one question before proceeding to the next Essay • • 9. Criticisms of the adequacy,relevance,correctness of an info Allows you to assess HOTS Measures the Following abilities: 1. Comparisons between 2 more things 2. Dev’t of a defence of an opinion/thought 3. Questions of cause and effect 4. Explanation of meanings 5. Summarizing of info 6. Analysis 7. Knowledge of Relationships 8. Illustration/Application of rules, laws, principles Rule 6: Try not to look who owns the paper when checking Rule 7: If possible, have somebody to countercheck the essay