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CHARACTERISTICS OF A GOOD TEST
a.    Valid -----refers to the extent to which measure what is purpose
      to measure.
b.    State that if the test item is congruent to the behavior to be
      tested it is then valid.
                                           Types of Evidence
                                                                                         CONSTRUCT-RELATED VALIDITY
                                                                                          -- refers to how well a performance
     CONTENT VALIDITY-                     CRITERION-RELATED VALIDITY-                     on a particular set of task can be
                                                                                                   explained by some
                                                                                         PSYCHOLOGICAL CONSTRUCT or
                                                                                                         TRAITS.




                                                     1. PREDICTIVE VALIDITY
                                                --- involves the use of criterion and              THEORETICAL CONSTRUCT
     refers to the ADEQUACY and                   a predictor. Example correlating
     REPRESENTATIVENESS of                      the results of college entrance test               -- describe by determining the
     learning outcomes to be measured            and student GWA at some future                  components of such psychological
                                                                 time                                           task
                                                 (predictor= CET; criterion= GWA)




                                                    2. CONCURRENT VALIDITY
                                                                                                      CRITICAL CONSTRUCT
                                                 -- criterion are already available in
                                                 which CET is correlated with some                    - predictors, conclusions,
     can be assure with the use of T.O.S                                                               assumptions, inference,
                                                           available criterion
                                                                                                  interpretations and relevance of
                                                (predictor= GWA; criterion= 4th year                           evidence
                                                           high school grade)
CHARACTERISTICS OF A GOOD TEST
RELIABILITY
--refers to the ―CONSISTENCY‖ of the test score.
--ERRORS of measurements are factors or conditions that can contribute to the
     lowering of the test reliability. If the test has low reliability we can be assure
     that errors of measurement have affected the test scores to the point that
     the test is UNRELIABLE

                                 SOME ERRORS OF MEASUREMENTS

 •What happening within the      •Test contain (poorly              •Lightning of room, room
                                                                     temp (too hot or too cold)     •MISKEY/ providing wrong
  individual?(fatigue, hunger,    constructed items, items with                                      answer, mistake in
  headache, motional upset,       clues, very easy, very             noise, seating arrangement,
                                                                     instruction, time allotment,    correcting a wrong answer,
  anxiety, growth and learning    difficult, very high vocabulary                                    mistake in the use of
  acquired before the test)—      reading level )—tends to           attitude of test
                                                                     examinee(MAKE THE TEST          required pencil and
  tends to reduce the             guessing particularly when it                                      subjective scoring
  consistency of the SCORE        is long                            UNRELIABLE LOWER THE
  OVER TIME                                                          TEST SCORE)


                                 Test Itself
                                                                    Test
 Test Takers                     (INTRA TEST                                                        Test Scoring
                                                                    Administrations
                                 ERROR)
TO DETERMINE THE CONSTRUCT VALIDITY OF CRITICAL
                   THINKING
 1.   Each subtest is correlated with the whole test.
 2.   The correlation of each subtest which measures a particular components
      contribute to the measurement of a psychological trait which is critical thinking.
      Define by:
 X                                         Y                         (proportion
 (subtest)            (correlation with the total score)              of common
      variance)

                     DEGREES OF RLATIONSHIP BETWEEN TWO SETS OF SCORE
          +1.00----PERFECT POSITVE RELATIONSHIP (the better)more from the upper group got the test correctly.
                                   0.00---- NO RELATIONSHIP
           -1.00----PERFECR NEGATIVE RELATIONSHIP more from the lower group got the test correctly.

         DISCRIMINANT VALIDITY---DIFFERENT TRAITS
                         CONSTRUCT
          --- SCORE OF CRITICAL THINKING TEST ARE
             CORRELATED WITH THOSE OF ATTITUDES
                       TOWARDS MOVIES
METHODS OF ESTIMATING TEST RELIABILITY

TEST-RETEST METHOD
         --determines how scores are consistent over a given period of time. The same test is administered twice to the
                same group with an interval between 2 to 15 days(sufficient time interval)(2-3 days student can recall
                answer)(longer time interval lower the reliability)/true score= true score+error of measures/
PARALLEL/ALTERNATE FORMS METHOD
          --used two different versions of the same test, administered to the same group close together
    in time. It used form A or B and can be given on the same day or the next day. The difference of the
    two is how they worded or written, it should measure the same skills and errors are significantly
    controlled
TEST-RETEST WITH ALTERNATE FORMS METHOD
          --administering the two version of the same test on two different occasions. Time interval may
    be short(2 weeks)(longer for 6 months). Takes into account all possible sources of errors. It is the
    most useful indicates variation of a test score over a period of time.
INTERNAL CONSISTENCY METHOD
          -- employ only one test administration of the same test given to the same group on individual.
DIFERENT METHODS
1.  SPILT-HALF /ODD-EVEN METHOD—scoring odd items, scoring even items
2.  KUDER RICHARDSON FORMULA 20—two sets of score (odd and even) are correlated using
    PRODUCT MOMENT CORRELATION COEFFICIENT FORMULA
3.  TO TEST THE RELIABILITY OF THE WHOLE TEST (USE SPEARMAN-BROWN PROPHECY
    FORMULA )
4.  PEARSON r USED TO COMPUTE INTERMNAL CONSISTENCY OF A CERTAIN TEST USED IN
    SPLIT-HALF METHOD
Reliability coefficient is high then it is said to be homogenous.
Consistency of the test scores determined over different parts of the
entire test..

RELIABILITY ESTIMATE                                       WHAT TO
MEASURE

TEST-RETEST                               :       TEST ADMIN, TEST TAKERS
ALTERNATE FORMS                           ;       TEST ADMIN, TEST
ITSELF,
TEST-RETEST WITH ALTERNATE FORMS                  :        TEST ADMIN, TEST
ITSELF, TEST TAKERS

INTERNAL CONSISITENCY                             :        TEST ADMIN,
TEST ITSELF




NOTE: a reliability coefficient of +.86 of a test measure that 86/100 of the
obtained score of an individual is true score and 14/100 can be attributed
to errors of measurements.
IMPROVING THE TEST ITEMS


             Item Analysis



• Who answer the   • Is the extent to
  item correctly     which a test item
                     differentiate good
                     performer to poor
                     performer

Index of           Index of
difficulty         discrimination
METHOD TO EMPLOY IN ITEM ANALYSIS
-USING THE UPPER AND LOWER INDEX METHOD
                 27/100
1.   After scoring the test, arrange from lowest to highest.
2.   Segregate the top and bottom 27/100 of the paper.
3.   Tally the correct answers to each item by each student in the upper
     27/100 group.
4.   Repeat step three, considering the lower 27/100.
5.   Get the percentage of the upper group that obtained the correct
     answer use U.
6.   repeat step 5, considering lower group. Used L.
7.   Get the average percent of U and L.
8.   Get the difference between U and L.

 L/U = NO. OF PUPILS GOT ITEM CORRECT
 NL/NU = NO. OF PUPIL IN THE LOWER GROUP OVER UPPER GROUP
TABLE INTERPRETING DIFFICULTY INDEX

                   Range            Description

                 0.00 – 0.20        Very difficult

                 0.21 – 0.40           Difficult

                 0.41 – 0.60      Moderate difficult

                 0.61 – 0.80            Easy

                 0.81 – 1.00         Very easy




The higher the difficulty index
the easiest the item is.
TABLE INTERPRETING INDEX OF
                    DISCRIMINATION
                   RANGE                DESCRIPTION
 A good
test item        -1.00 - -0.61    Questionable item
separate
the bright       -0.59 - -0.20    Not discriminating
performer
from the         -0.19 – 0.20     Moderate discriminating
poor             0.21 – 0.60      Discriminating

                 0.61 – 1.00      Very discriminating



  The higher the index of                       Formula:
  discrimination the higher the           Ds = {((U/NU)-(L/NL)}
  discrimination
WHEN WOULD YOU SAY “GOOD OR RETAINED”
             YOUR ITEM
           -must have ACCEPTABLE INDEX OF DIFFICULTY AND DISCRIMINATION

             ACCEPTABLE INDEX OF DIFFICULTY RANGES FROM 0.41 - 0.60

           -ACCETABLE INDEX OF DISCRIMINATION RANGES FROM +0.20 - +1.00



                        FAIR OR REVISED
                  -UNACCEPTED DIFFICULTY OR DISCRIMINATION INDEX




                     POOR OR DISCARDED
             -BOTH DIFFICULTY AND DISCRIMINATION INDEX ARE
                            UNACCEPTABLE.
            THEN THE ITEM NEED TO BE DISCARDED RIGHT AWAY
TABLE OF ACTION TO BE TAKEN
 DIFFICULTY LEVEL     DISCRIMINATING            ACTION
                          LEVEL
                     QUESTIONABLE ITEM
  VERY DIFFICULT                               DISCARD
                     VERY DISCRIMINATING
                     NOT DISCRIMINATING        DISCARD
                        MODERATELY
    DIFFICULT          DISCRIMINATING
                                                REVISE
                       DISCRIMINATING           RETAIN
                     NOT DISCRIMINATING         REVISE
                        MODERATELY
MODERATE DIFFICULT     DISCRIMINATING
                                           MAY NEED REVISION
                       DISCRIMINATING           ACCEPT
                     NOT DISCRIMINATING        DISCARD
                        MODERATELY
      EASY             DISCRIMINATING
                                                 N.R.
                       DISCRIMINATING             N.R
                       QUESTIONABLE              SEE EXAMPLE
    VERY EASY                                  DISCARD
TRADITIONAL ASSESSMENT

Discrete Point(Single Attribute Assessment)
             -- example Language assessment in the form of Multiple choices, matching type, true or false, or
short        answer
Charles Spearman(1904)-Two Factor Theory
             --general Factor Or G-factor and postulates specific or S-factor. Example of tests with g-factor are
Raven        Progressive Matrices and Catre’s Culture Fair Intelligence test
             Integrative or Global Assessment(Multiple Trait Assessment)
             --measure more than one point or objective at a time, and often pragmatic.
             Example is writing composition
Cloze Test
             --innovative method for testing wherein words are deleted from a passage. The most common
             practice is to delete every 5th word. The acceptable range for readability of certain reading materials
is           between 30-50 percent.
C-Test
             -- second half of every word is deleted., leaving the first and last word intact, and commonly
             contains 100                 words
Dictation Test
             -- primarily a test for listening, and spelling. It is a test use to measure the ability to use capital
letters,     punctuation marks, spell words correctly and write legibly and neatly.
             ADMINISTERING DICTATION TEST
             Read each word once or twice as student listen, ask student to write the word. Read the word again
             for confirmation. Read each sentence slowly once or write then at normal speed once before
students are               asked to write. And do not read the word while students are writing
Oral Interview-
             --kind of integrative assessment. It is a collecting information through face-to-face between the
             interviewee and interviewer. The interviewee is not at liberty to modify or make a follow up question.
The          question should be prepared before hand and objective should be taking in consideration
MEASURE OF CENTRAL TENDENCY
Raw scores- scores obtained
Tabulating raw scores
           steps in constructing a grouped frequency distribution are as follows
1.   Determine the range of scores, ranges is equal to the highest score minus the
     lowest score.
2.   Determined the appropriate number of class interval ideal 10-15. be sure that the
     lowest limit is divisible interval . Class interval is defined by k= 1+3.3logn, where n
     is the number of sample and n = (N/(1+Ne^2))
3.   Or i=range over k, the number of class size.
4.   Determine the lowest limit (LL) of the interval, LS/I width = Q*I = LL.
5.   Construct the frequency column (f) by tallying the no. of scores opposite each
     interval.
Raking
-Another way to organize test scores. It is the process of arranging a group of scores
from highest to lowest. The highest scores is designated as first ranked, and so on.
-Steps in ranking the scores
     -   1. arrange the scores from highest to lowest, particular scores may be written as many
         times as it may occurs.
     -   2. put a serial number opposite to each. 1,2,3,4,,..
     -   3. average the rank of each scores appearing more than one. Example 45,45,45appear
         three times and rank as 7, 8, and 9, then add = 24/3 = then they will be rank 8.
GRAPHING OF DATA
 6
 4
 2                 Series 1
 0                 Series 2
                   Series 3

                              6
                                                                  Series
                              4                                   1
1.   Histogram                2
2.   Polygon                  0                                   Series




                                  Cate…
                                          Cate…
                                                  Cate…
                                                          Cate…
3.   bar                                                          2
MEASURES OF CENTRAL TENDENCY
              MEAN, MEDIAN, MODE
The MEAN– denoted by
-Simply the average of the group and most widely accepted measures of
central tendency
                                            For Grouped data
    For ungrouped data
                                                    --


Where                                                       - using
   -- mean                                      deviation

    -- summation of x                        am- assume mean
N – total number of scores in                   d – deviation
distribution                            --- summation of frequency
                                              times devation.
The MEDIAN is defined by
           -- the middle most score in the distribution. It divides the
distribution in half or 50 % of the scores is found above the median, and
the other 50 % lies below the median .


For ungrouped data
                                      For grouped data
1. Arrange the scores from
highest to lowest or vise
versa.
                                      ll- lowest limit of N/2
2. If odd numbers, median
                                      N- no. of cses
is the middle most number
                                      Cf- cummulative frequency
in the distribution.
                                      f- frequency where the measure lies
                                      i- nterval
3. If even average the
middle.
The MODE is defined by
          -- The most frequent, extremes, and repeated numbers. It is not
affected if one number is changed less then or greater than



For ungrouped data
                                     For grouped data
1. The mode for ungrouped
data is the number that
occur most.

                                        Mode = 3median –(2mean)
The measures of central tendency in different
               distribution

       1. NORMAL DISTRIBUTION
 2. POSITIVELY SKEWED DISTRIBUTION
 3. NEGATIVELY SKEWED DISTRIBUTION
. Normal distribution
Positively skewed distribution

                   1. THERE ARE MORE LOW SCORES
                           THAN HIGHER SCORE.
                      2. IT SHOWS THAT TEST IS SO
                                DIFFICULT
                      FORMED AN ASYMMETRICAL
                              DISTRIBUTION
      >   >
                          MEAN>MEDIAN>MODE


The graph shows that the number of
 student who got good grades are
relatively lower than those who got
            lower grades..
 Negatively      skewed distribution
                         1. THERE ARE MORE HIGH
                          SCORES THAN LOWER SCORE.
                             2. IT SHOWS THAT TEST IS
                            VERY EASY, THUS EVEN THE
                          LOW PERFORMER STUDENT S
                                  GOT GOOD GRADE
                           FORMED AN ASYMMETRICAL
                                    DISTRIBUTION
          >   >
                              MODE>MEDIAN>MEAN
                         2. INVERSE OF POSITIVELY
                                    DISTRIBUTION
The graph shows that the number of
  student who got high grades are
 relatively more than those who got
            lower grades..
Forms of Assessment
                1. TRADITIONAL ASSESSMENT
   - EXAMPLE MULTIPLE CHOICE, MATCHING TYPE, TRUE OR FALSE
                         COMPLETION TEST
                 2. PERFORMANCE ASSESSMENT
   -ENGAGE IN COMPLEX TASK, CREATION OF PRODUCT EX. DANCE
                      STEP, DEMONSTRATION
                   3. PORTFOLIO ASSESSMENT
-ON GOING EVALUATION, INVOLVES GATHERING OR COLLECTING MANY
          DIFFERENT STUDENTS PROGRESS INDICATORS
                    4. AUTHENTIC ASSESSMENT
             -REAL LIFE CRITERIA USE OF JUDGMENTS
THANK YOU!

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Characteristics of a good test

  • 1. CHARACTERISTICS OF A GOOD TEST a. Valid -----refers to the extent to which measure what is purpose to measure. b. State that if the test item is congruent to the behavior to be tested it is then valid. Types of Evidence CONSTRUCT-RELATED VALIDITY -- refers to how well a performance CONTENT VALIDITY- CRITERION-RELATED VALIDITY- on a particular set of task can be explained by some PSYCHOLOGICAL CONSTRUCT or TRAITS. 1. PREDICTIVE VALIDITY --- involves the use of criterion and THEORETICAL CONSTRUCT refers to the ADEQUACY and a predictor. Example correlating REPRESENTATIVENESS of the results of college entrance test -- describe by determining the learning outcomes to be measured and student GWA at some future components of such psychological time task (predictor= CET; criterion= GWA) 2. CONCURRENT VALIDITY CRITICAL CONSTRUCT -- criterion are already available in which CET is correlated with some - predictors, conclusions, can be assure with the use of T.O.S assumptions, inference, available criterion interpretations and relevance of (predictor= GWA; criterion= 4th year evidence high school grade)
  • 2. CHARACTERISTICS OF A GOOD TEST RELIABILITY --refers to the ―CONSISTENCY‖ of the test score. --ERRORS of measurements are factors or conditions that can contribute to the lowering of the test reliability. If the test has low reliability we can be assure that errors of measurement have affected the test scores to the point that the test is UNRELIABLE SOME ERRORS OF MEASUREMENTS •What happening within the •Test contain (poorly •Lightning of room, room temp (too hot or too cold) •MISKEY/ providing wrong individual?(fatigue, hunger, constructed items, items with answer, mistake in headache, motional upset, clues, very easy, very noise, seating arrangement, instruction, time allotment, correcting a wrong answer, anxiety, growth and learning difficult, very high vocabulary mistake in the use of acquired before the test)— reading level )—tends to attitude of test examinee(MAKE THE TEST required pencil and tends to reduce the guessing particularly when it subjective scoring consistency of the SCORE is long UNRELIABLE LOWER THE OVER TIME TEST SCORE) Test Itself Test Test Takers (INTRA TEST Test Scoring Administrations ERROR)
  • 3. TO DETERMINE THE CONSTRUCT VALIDITY OF CRITICAL THINKING 1. Each subtest is correlated with the whole test. 2. The correlation of each subtest which measures a particular components contribute to the measurement of a psychological trait which is critical thinking. Define by: X Y (proportion (subtest) (correlation with the total score) of common variance) DEGREES OF RLATIONSHIP BETWEEN TWO SETS OF SCORE +1.00----PERFECT POSITVE RELATIONSHIP (the better)more from the upper group got the test correctly. 0.00---- NO RELATIONSHIP -1.00----PERFECR NEGATIVE RELATIONSHIP more from the lower group got the test correctly. DISCRIMINANT VALIDITY---DIFFERENT TRAITS CONSTRUCT --- SCORE OF CRITICAL THINKING TEST ARE CORRELATED WITH THOSE OF ATTITUDES TOWARDS MOVIES
  • 4. METHODS OF ESTIMATING TEST RELIABILITY TEST-RETEST METHOD --determines how scores are consistent over a given period of time. The same test is administered twice to the same group with an interval between 2 to 15 days(sufficient time interval)(2-3 days student can recall answer)(longer time interval lower the reliability)/true score= true score+error of measures/ PARALLEL/ALTERNATE FORMS METHOD --used two different versions of the same test, administered to the same group close together in time. It used form A or B and can be given on the same day or the next day. The difference of the two is how they worded or written, it should measure the same skills and errors are significantly controlled TEST-RETEST WITH ALTERNATE FORMS METHOD --administering the two version of the same test on two different occasions. Time interval may be short(2 weeks)(longer for 6 months). Takes into account all possible sources of errors. It is the most useful indicates variation of a test score over a period of time. INTERNAL CONSISTENCY METHOD -- employ only one test administration of the same test given to the same group on individual. DIFERENT METHODS 1. SPILT-HALF /ODD-EVEN METHOD—scoring odd items, scoring even items 2. KUDER RICHARDSON FORMULA 20—two sets of score (odd and even) are correlated using PRODUCT MOMENT CORRELATION COEFFICIENT FORMULA 3. TO TEST THE RELIABILITY OF THE WHOLE TEST (USE SPEARMAN-BROWN PROPHECY FORMULA ) 4. PEARSON r USED TO COMPUTE INTERMNAL CONSISTENCY OF A CERTAIN TEST USED IN SPLIT-HALF METHOD
  • 5. Reliability coefficient is high then it is said to be homogenous. Consistency of the test scores determined over different parts of the entire test.. RELIABILITY ESTIMATE WHAT TO MEASURE TEST-RETEST : TEST ADMIN, TEST TAKERS ALTERNATE FORMS ; TEST ADMIN, TEST ITSELF, TEST-RETEST WITH ALTERNATE FORMS : TEST ADMIN, TEST ITSELF, TEST TAKERS INTERNAL CONSISITENCY : TEST ADMIN, TEST ITSELF NOTE: a reliability coefficient of +.86 of a test measure that 86/100 of the obtained score of an individual is true score and 14/100 can be attributed to errors of measurements.
  • 6. IMPROVING THE TEST ITEMS Item Analysis • Who answer the • Is the extent to item correctly which a test item differentiate good performer to poor performer Index of Index of difficulty discrimination
  • 7. METHOD TO EMPLOY IN ITEM ANALYSIS -USING THE UPPER AND LOWER INDEX METHOD 27/100 1. After scoring the test, arrange from lowest to highest. 2. Segregate the top and bottom 27/100 of the paper. 3. Tally the correct answers to each item by each student in the upper 27/100 group. 4. Repeat step three, considering the lower 27/100. 5. Get the percentage of the upper group that obtained the correct answer use U. 6. repeat step 5, considering lower group. Used L. 7. Get the average percent of U and L. 8. Get the difference between U and L. L/U = NO. OF PUPILS GOT ITEM CORRECT NL/NU = NO. OF PUPIL IN THE LOWER GROUP OVER UPPER GROUP
  • 8. TABLE INTERPRETING DIFFICULTY INDEX Range Description 0.00 – 0.20 Very difficult 0.21 – 0.40 Difficult 0.41 – 0.60 Moderate difficult 0.61 – 0.80 Easy 0.81 – 1.00 Very easy The higher the difficulty index the easiest the item is.
  • 9. TABLE INTERPRETING INDEX OF DISCRIMINATION RANGE DESCRIPTION A good test item -1.00 - -0.61 Questionable item separate the bright -0.59 - -0.20 Not discriminating performer from the -0.19 – 0.20 Moderate discriminating poor 0.21 – 0.60 Discriminating 0.61 – 1.00 Very discriminating The higher the index of Formula: discrimination the higher the Ds = {((U/NU)-(L/NL)} discrimination
  • 10. WHEN WOULD YOU SAY “GOOD OR RETAINED” YOUR ITEM -must have ACCEPTABLE INDEX OF DIFFICULTY AND DISCRIMINATION ACCEPTABLE INDEX OF DIFFICULTY RANGES FROM 0.41 - 0.60 -ACCETABLE INDEX OF DISCRIMINATION RANGES FROM +0.20 - +1.00 FAIR OR REVISED -UNACCEPTED DIFFICULTY OR DISCRIMINATION INDEX POOR OR DISCARDED -BOTH DIFFICULTY AND DISCRIMINATION INDEX ARE UNACCEPTABLE. THEN THE ITEM NEED TO BE DISCARDED RIGHT AWAY
  • 11. TABLE OF ACTION TO BE TAKEN DIFFICULTY LEVEL DISCRIMINATING ACTION LEVEL QUESTIONABLE ITEM VERY DIFFICULT DISCARD VERY DISCRIMINATING NOT DISCRIMINATING DISCARD MODERATELY DIFFICULT DISCRIMINATING REVISE DISCRIMINATING RETAIN NOT DISCRIMINATING REVISE MODERATELY MODERATE DIFFICULT DISCRIMINATING MAY NEED REVISION DISCRIMINATING ACCEPT NOT DISCRIMINATING DISCARD MODERATELY EASY DISCRIMINATING N.R. DISCRIMINATING N.R QUESTIONABLE SEE EXAMPLE VERY EASY DISCARD
  • 12. TRADITIONAL ASSESSMENT Discrete Point(Single Attribute Assessment) -- example Language assessment in the form of Multiple choices, matching type, true or false, or short answer Charles Spearman(1904)-Two Factor Theory --general Factor Or G-factor and postulates specific or S-factor. Example of tests with g-factor are Raven Progressive Matrices and Catre’s Culture Fair Intelligence test Integrative or Global Assessment(Multiple Trait Assessment) --measure more than one point or objective at a time, and often pragmatic. Example is writing composition Cloze Test --innovative method for testing wherein words are deleted from a passage. The most common practice is to delete every 5th word. The acceptable range for readability of certain reading materials is between 30-50 percent. C-Test -- second half of every word is deleted., leaving the first and last word intact, and commonly contains 100 words Dictation Test -- primarily a test for listening, and spelling. It is a test use to measure the ability to use capital letters, punctuation marks, spell words correctly and write legibly and neatly. ADMINISTERING DICTATION TEST Read each word once or twice as student listen, ask student to write the word. Read the word again for confirmation. Read each sentence slowly once or write then at normal speed once before students are asked to write. And do not read the word while students are writing Oral Interview- --kind of integrative assessment. It is a collecting information through face-to-face between the interviewee and interviewer. The interviewee is not at liberty to modify or make a follow up question. The question should be prepared before hand and objective should be taking in consideration
  • 13. MEASURE OF CENTRAL TENDENCY Raw scores- scores obtained Tabulating raw scores steps in constructing a grouped frequency distribution are as follows 1. Determine the range of scores, ranges is equal to the highest score minus the lowest score. 2. Determined the appropriate number of class interval ideal 10-15. be sure that the lowest limit is divisible interval . Class interval is defined by k= 1+3.3logn, where n is the number of sample and n = (N/(1+Ne^2)) 3. Or i=range over k, the number of class size. 4. Determine the lowest limit (LL) of the interval, LS/I width = Q*I = LL. 5. Construct the frequency column (f) by tallying the no. of scores opposite each interval. Raking -Another way to organize test scores. It is the process of arranging a group of scores from highest to lowest. The highest scores is designated as first ranked, and so on. -Steps in ranking the scores - 1. arrange the scores from highest to lowest, particular scores may be written as many times as it may occurs. - 2. put a serial number opposite to each. 1,2,3,4,,.. - 3. average the rank of each scores appearing more than one. Example 45,45,45appear three times and rank as 7, 8, and 9, then add = 24/3 = then they will be rank 8.
  • 14. GRAPHING OF DATA 6 4 2 Series 1 0 Series 2 Series 3 6 Series 4 1 1. Histogram 2 2. Polygon 0 Series Cate… Cate… Cate… Cate… 3. bar 2
  • 15. MEASURES OF CENTRAL TENDENCY MEAN, MEDIAN, MODE The MEAN– denoted by -Simply the average of the group and most widely accepted measures of central tendency For Grouped data For ungrouped data -- Where - using -- mean deviation -- summation of x am- assume mean N – total number of scores in d – deviation distribution --- summation of frequency times devation.
  • 16. The MEDIAN is defined by -- the middle most score in the distribution. It divides the distribution in half or 50 % of the scores is found above the median, and the other 50 % lies below the median . For ungrouped data For grouped data 1. Arrange the scores from highest to lowest or vise versa. ll- lowest limit of N/2 2. If odd numbers, median N- no. of cses is the middle most number Cf- cummulative frequency in the distribution. f- frequency where the measure lies i- nterval 3. If even average the middle.
  • 17. The MODE is defined by -- The most frequent, extremes, and repeated numbers. It is not affected if one number is changed less then or greater than For ungrouped data For grouped data 1. The mode for ungrouped data is the number that occur most. Mode = 3median –(2mean)
  • 18. The measures of central tendency in different distribution 1. NORMAL DISTRIBUTION 2. POSITIVELY SKEWED DISTRIBUTION 3. NEGATIVELY SKEWED DISTRIBUTION
  • 20. Positively skewed distribution 1. THERE ARE MORE LOW SCORES THAN HIGHER SCORE. 2. IT SHOWS THAT TEST IS SO DIFFICULT FORMED AN ASYMMETRICAL DISTRIBUTION > > MEAN>MEDIAN>MODE The graph shows that the number of student who got good grades are relatively lower than those who got lower grades..
  • 21.  Negatively skewed distribution 1. THERE ARE MORE HIGH SCORES THAN LOWER SCORE. 2. IT SHOWS THAT TEST IS VERY EASY, THUS EVEN THE LOW PERFORMER STUDENT S GOT GOOD GRADE FORMED AN ASYMMETRICAL DISTRIBUTION > > MODE>MEDIAN>MEAN 2. INVERSE OF POSITIVELY DISTRIBUTION The graph shows that the number of student who got high grades are relatively more than those who got lower grades..
  • 22. Forms of Assessment 1. TRADITIONAL ASSESSMENT - EXAMPLE MULTIPLE CHOICE, MATCHING TYPE, TRUE OR FALSE COMPLETION TEST 2. PERFORMANCE ASSESSMENT -ENGAGE IN COMPLEX TASK, CREATION OF PRODUCT EX. DANCE STEP, DEMONSTRATION 3. PORTFOLIO ASSESSMENT -ON GOING EVALUATION, INVOLVES GATHERING OR COLLECTING MANY DIFFERENT STUDENTS PROGRESS INDICATORS 4. AUTHENTIC ASSESSMENT -REAL LIFE CRITERIA USE OF JUDGMENTS