EZ 4 U 2 Compute T-Scores

EZ 4 U 2 Compute T scores

Different set of raw scores obtained by a sampleof subjects cannot be summed up directly.Because there is no evidence that their units are identical.By annalogy we are not allowed to obtain the raw sumof monetary values declared in terms of different currencies:How can we obtain the sum total of our fortune in our bank account deposited in several currencies? In order to be able to add up 2$+5£+3€ all of the componentshave to be expressed in terms of identical units i.e. $, £, € or TL.Same analogy applies to the measurement of length in termsof different units e.g. cm, inches, etc. Shortly a set of raw scores obtained for a sample of subjectsmust be converted to a common unit.Analogy stops here. Unlike currencies or units for lengththere is no universal unit for educational and psychological constructs. Perhaps "Point" score is the most common unit usedin the world. But there no two identical "points" assigned for asubject in an exam or in a questionnaire.The procedure to obtain standard scores for a set of rawscores expressed in "points" of different size is on theSheet named Standard Scores.Here is the procedure:1.0 Organize the data matrix as follows:1.1 Set the column titlesColumn A: SubjectsColumn B: MidtermColumn C: HomeworksColumn D: Final1.2 Generate alpha numerical subject ids.Use drag & drop capability in Excell

1.3 By using mouse or [Shift ↓) multiply the number of subjects.

1.4 Fabricate fictituous scores of different magnitudes.Use =RANDBETWEEN(bottom;top) function in Excel.

Generate virtual scores for Homework and Final with different "bottom" and "top" values in =RANDBETWEEN( … function.

1.5 Right after having completed the data entry inthe first row these

entries must be copied and pasted for alllsubjects.An example for sucha a data matrix is given in the sheetnamed "Standard Scores".

1.6 Convert the raw scores into T-scores by using the formulagiven below (Take care in relative addressing and absolute addressing before copy & paste operations).

The symbols in the formula are defined below.

The formula given above can be written in Excel asd below.

This formula converts the raw score of the subject labeled with S001. From then on this formula will be copied and pasted to all of the subjects for all observations. Before copying and pasting the relative and absolute addressing of columns and rows must be ensuredfor their appropriateness.

Resource

Guilford, J.P., Fruchter, B. (1978). Fundamental statistics in psychology and education. 6th ed. McGraw-Hill-Kogagusha. 472-484.

https://www.academia.edu/22491331/EZ_4_U_2_Compute_T_Scores



50 10

22.2 60.7 37.6 50.0 50.0 50.0

13.4 41.6 34.8 10.0 10.0 10.0

Subjects Midterm Homework Final T-Midterm T-Homework T-FinalS001 45 97 47 67.1 58.7 52.7S002 28 70 8 54.4 52.2 41.5S003 22 53 3 49.9 48.1 40.0S004 24 32 17 51.4 43.1 44.1S005 28 120 4 54.4 64.2 40.3S006 6 1 59 37.9 35.7 56.1S007 33 110 3 58.1 61.8 40.0S008 44 9 90 66.3 37.6 65.1S009 41 68 0 64.1 51.8 39.2S010 14 2 37 43.9 35.9 49.8S011 8 4 53 39.4 36.4 54.4S012 11 37 6 41.6 44.3 40.9S013 8 108 38 39.4 61.4 50.1S014 7 113 94 38.6 62.6 66.2S015 14 83 95 43.9 55.4 66.5S016 13 47 75 43.1 46.7 60.7S017 31 78 11 56.6 54.2 42.3



Mean 42 25 7 39 57 50 50 50 50 50 Mean-T% 67St. Dev 5 6 1 3 26 10 10 10 10 10 StD%: 12IDEAL 50 50 9 50 100 67 94 70 92 67 75 100Weights 0.1 0.1 0.1 0.2 0.5 Weighted Measurement

Turkish:

English https://www.academia.edu/22491331/EZ_4_U_2_Compute_T_Scores

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Grade

i001 40 24 6 37 62 47 49 46 41 52 48 65 B-i002 43 26 6 38 74 53 52 46 45 56 52 70 Bi003 40 24 7 41 48 47 49 54 57 46 49 66 B-i004 34 15 5 37 10 34 33 38 41 31 35 46 C-i005 38 20 6 39 34 43 42 46 49 41 43 58 C+i006 45 27 6 40 76 57 54 46 53 57 55 73 Bi007 39 28 8 42 82 45 56 62 60 60 58 78 B+i008 43 30 8 42 90 53 59 62 60 63 61 81 B+i009 47 19 7 41 36 61 40 54 57 42 48 64 B-i010 40 24 8 42 54 47 49 62 60 49 52 70 Bi011 39 30 9 43 88 45 59 70 64 62 61 82 B+i012 43 24 5 38 64 53 49 38 45 53 49 66 B-i013 46 28 6 38 78 59 56 46 45 58 54 72 Bi014 49 34 7 42 94 65 66 54 60 64 63 84 A-i015 36 15 6 38 16 39 33 46 45 34 38 50 Ci016 36 23 5 36 54 39 47 38 37 49 44 59 C+i017 40 28 6 40 80 47 56 46 53 59 55 73 Bi018 47 31 8 41 92 61 61 62 57 64 61 82 A-i019 36 27 6 38 58 39 54 46 45 50 48 64 B-i020 34 18 6 39 20 34 38 46 49 35 39 53 Ci021 48 24 8 41 50 63 49 62 57 47 52 70 Bi022 42 20 6 37 22 51 42 46 41 36 40 54 Ci023 43 23 7 42 60 53 47 54 60 51 53 71 Bi024 46 27 7 39 72 59 54 54 49 56 54 73 Bi025 40 24 7 39 46 47 49 54 49 46 47 64 B-i026 39 31 8 41 86 45 61 62 57 61 59 78 B+i027 36 28 7 39 74 39 56 54 49 56 53 71 Bi028 36 15 6 38 10 39 33 46 45 31 36 49 Ci029 39 17 6 41 30 45 37 46 57 39 44 58 C+i030 40 19 6 38 18 47 40 46 45 35 40 53 Ci031 46 25 6 38 56 59 51 46 45 49 49 66 B-i032 40 20 6 37 22 47 42 46 41 36 40 53 Ci033 50 28 8 41 66 67 56 62 57 53 56 76 B+

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i034 30 8 1 30 10 26 21 7 14 31 24 32 Di035 50 33 8 42 94 67 65 62 60 64 64 85 A-i036 36 28 6 40 72 39 56 46 53 56 52 70 Bi037 35 15 3 34 10 36 33 23 29 31 31 41 D+i038 36 17 6 37 14 39 37 46 41 33 37 49 Ci039 49 30 8 42 96 65 59 62 60 65 63 85 A-i040 43 22 5 36 34 53 45 38 37 41 42 56 C+i041 40 23 6 39 58 47 47 46 49 50 49 65 B-i042 44 30 7 42 90 55 59 54 60 63 60 81 B+i043 42 23 6 38 54 51 47 46 45 49 48 64 B-i044 38 26 6 38 70 43 52 46 45 55 51 68 B-i045 41 22 6 38 40 49 45 46 45 43 45 60 C+i046 42 18 6 38 18 51 38 46 45 35 40 53 Ci047 50 20 6 41 46 67 42 46 57 46 50 66 B-i048 49 27 8 43 82 65 54 62 64 60 61 81 B+i049 44 30 8 41 88 55 59 62 57 62 60 80 B+i050 47 26 7 39 56 61 52 54 49 49 51 69 B-i051 37 25 7 41 48 41 51 54 57 46 49 66 B-i052 39 17 6 39 28 45 37 46 49 39 42 56 C+i053 39 20 5 37 40 45 42 38 41 43 42 57 C+i054 39 28 7 41 86 45 56 54 57 61 57 77 B+i055 41 19 6 39 42 49 40 46 49 44 45 61 C+i056 42 32 8 43 92 51 63 62 64 64 62 83 A-i057 37 26 7 42 68 41 52 54 60 54 54 72 Bi058 50 25 8 41 68 67 51 62 57 54 56 75 Bi059 43 17 6 37 20 53 37 46 41 35 39 53 Ci060 41 32 7 43 96 49 63 54 64 65 62 83 A-i061 37 26 6 38 56 41 52 46 45 49 48 64 B-i062 48 19 7 39 32 63 40 54 49 40 46 61 C+i063 43 29 6 38 68 53 58 46 45 54 52 69 Bi064 38 19 5 36 42 43 40 38 37 44 42 56 C+i065 39 27 8 42 60 45 54 62 60 51 54 72 Bi066 46 27 6 38 70 59 54 46 45 55 52 70 Bi067 42 31 8 41 92 51 61 62 57 64 60 81 B+i068 39 18 6 37 12 45 38 46 41 32 37 50 Ci069 44 19 8 40 36 55 40 62 53 42 47 63 B-i070 40 28 6 40 76 47 56 46 53 57 54 72 Bi071 50 31 8 43 96 67 61 62 64 65 64 86 A-i072 34 25 6 39 66 34 51 46 49 53 50 66 B-i073 45 25 6 39 48 57 51 46 49 46 48 65 B-i074 43 29 8 43 78 53 58 62 64 58 59 79 B+i075 42 23 7 39 38 51 47 54 49 42 46 62 C+i076 49 17 7 40 26 65 37 54 53 38 45 60 C+i077 39 30 6 38 80 45 59 46 45 59 53 71 Bi078 47 27 8 41 62 61 54 62 57 52 55 73 Bi079 41 27 5 38 58 49 54 38 45 50 48 64 B-i080 40 16 6 36 10 47 35 46 37 31 36 48 C-i081 50 32 8 40 84 67 63 62 53 60 60 80 B+i082 39 28 7 42 78 45 56 54 60 58 57 76 B+i083 41 28 6 39 64 49 56 46 49 53 51 68 B-i084 46 31 7 39 88 59 61 54 49 62 58 78 B+

i085 49 34 7 42 98 65 66 54 60 66 64 85 A-i086 48 30 8 43 98 63 59 62 64 66 64 86 A-i087 37 28 6 39 80 41 56 46 49 59 53 71 Bi088 49 32 8 42 94 65 63 62 60 64 63 85 A-i089 43 19 6 36 42 53 40 46 37 44 43 58 C+i090 35 29 6 39 74 36 58 46 49 56 52 70 Bi091 42 25 6 37 62 51 51 46 41 52 49 65 B-i092 35 25 6 39 52 36 51 46 49 48 47 63 B-i093 47 22 6 39 46 61 45 46 49 46 48 64 B-i094 35 21 7 41 30 36 44 54 57 39 44 59 C+i095 34 23 6 39 60 34 47 46 49 51 48 64 B-i096 30 10 1 25 10 26 24 7 -6 31 20 27 Fi097 35 20 6 37 38 36 42 46 41 42 42 56 C+i098 39 25 7 41 50 45 51 54 57 47 50 67 B-i099 39 28 6 37 72 45 56 46 41 56 51 68 B-i100 42 29 7 39 84 51 58 54 49 60 56 75 Bi101 34 20 5 38 44 34 42 38 45 45 43 57 C+i102 41 28 7 42 82 49 56 54 60 60 58 77 B+i103 50 49 9 43 98 67 93 70 64 66 69 92 Ai104 37 25 6 37 50 41 51 46 41 47 45 61 C+i105 46 18 6 38 24 59 38 46 45 37 42 56 C+i106 46 21 5 37 44 59 44 38 41 45 45 60 C+i107 47 29 7 40 70 61 58 54 53 55 55 74 Bi108 46 20 5 37 24 59 42 38 41 37 41 54 Ci109 45 27 9 43 66 57 54 70 64 53 58 77 B+i110 34 21 6 38 52 34 44 46 45 48 45 61 C+i111 39 20 5 38 28 45 42 38 45 39 41 54 Ci112 44 22 6 41 44 55 45 46 57 45 48 65 B-i113 46 30 6 40 86 59 59 46 53 61 58 77 B+i114 42 30 7 41 76 51 59 54 57 57 56 75 Bi115 40 31 9 43 90 47 61 70 64 63 62 83 A-i116 43 19 6 37 26 53 40 46 41 38 41 55 Ci117 49 25 6 41 52 65 51 46 57 48 51 69 Bi118 39 31 6 39 84 45 61 46 49 60 55 74 Bi119 34 27 8 40 64 34 54 62 53 53 52 69 Bi120 42 20 7 39 32 51 42 54 49 40 44 59 C+

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Englishhttps://www.academia.edu/22491331/EZ_4_U_2_Compute_T_Scores


Criteria

90 - 100 A83 - 89 A-76 - 82 B+70 - 75 B63 - 69 B-56 - 62 C+49 - 55 C43 - 48 C-36 - 42 D+29 - 35 D22 - 28 F



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EZ 4 U 2 Compute T-Scores