analyze statistic by using spss
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Analyze Statistic by Using SPSS . 5 th Day. الترابط العددي في القرآن الكريم. ان الاعجاز العددي لايقتصر على التساوي في تكرر الالفاظ .. اذ ان فيه التناسب في الاعداد فمثلا تكرر لفظ الرحمن في القران الكريم 57 مره .. وتكرر لفظ الرحيم 114 مره .. اي ان الرحيم تكرر ضعف الرحمن - PowerPoint PPT PresentationTRANSCRIPT
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Analyze Statistic by Using SPSS
5th Day
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الترابط العددي في القرآن الكريمان االعجاز العددي اليقتصر على التساوي في تكرر االلفاظ .. اذ ان فيه التناسب
في االعداد
114 مره .. وتكرر لفظ الرحيم 57فمثال تكرر لفظ الرحمن في القران الكريم مره .. اي ان الرحيم تكرر ضعف الرحمن
مره .. اي ان المغCفره ضعCف 234 مره .. وتكررت المغCفره 117وتكرر الجزاء الجزاء
وتكررت االبرار ضعف ماتكررت الفجار .. فبينما ذكرت االولى ست مرات ذكرت الثانيه ثالث مرات
مره في 36وتكررت اليسر ثالث اضعCاف ماتكرر العسر .. فقد تكررت اليسر مره 12حين العسر
وكذلك فيه الترابط العCددي
مره في القران 332فنجد ان لفظ قل ..وهو االمر من الله سبحانه وتعالى تكرر ..
مره332ومجموع الفاظ قالوا من االنس والجن في الحياة الدنيا واالخره
مره .. اي بقدر سنه 12وايضا نجد ان الشهر قد تكرر مره .. اي بقدر سنه365وان اليوم قد تكرر ايضا
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Non Parametric Testsاالختبارات الالمعلمية
عند وجود خلل في أحد الشروط الواجب • نلجأ لالختبارات tتوفرها إلستخدام اختبارات
الالمعلمية.
tاالختبارات الالمعلمية المناظرة الختبارات •تكون أقل قوة .
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Non Parametric Tests
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Non Parametric TestsOne-Sample
The Binomial Test
• Example: random sample was withdrawn for a number of children's weights and were as follows: 35 , 25 , 15 , 20 , 30 , 24 , 35 , 15 , 25 , 30 , 32 , 33 , 34 , 16 , 19 , 20 , 31, 10 . Required test the hypothesis average weight of the child over than 25 kilos at the confidence interval 99%?
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Mathematically solution
H0:= 25H1: > 25
Use a = 0.01
Compute for the z – statistic. = = 0
from observations the sign= + 0 - - + - + - 0 + + + + - - - + -(It means s = 8 , n = 18-2 = 16 ).
Compute for the critical region. At a = 0.01, we reject H0 if z>z 0.01 (z>+2.33).
Thus, we don't reject the null hypothesis and conclude that the average weight of the child equal 25 kilos.
nnSz 2
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Analyze Nonparametric Tests Binomial
Solution by SPSS
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The result: p-value (1-tailed) = 0.815/2= 0.41 a = 0.01
0.41>0.01
don't reject H0
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Non Parametric TestsTwo-Independent Samples
The Man-Whitney test
Example: To compare the ratios of intelligence between the two schools A and B, selected a random sample of students from these schools, intelligence test was conducted and the results were:
A 22 19 23 21 24 20 1824 22 25 24 20
B 18 20 17 22 19 23 2116 18 20
test the hypothesis that the students in the school A are smarter than the students in the school B at the level 0.05?
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Mathematically solutionrank school Obs.
15 A 22
6.5 A 19
17.5 A 23
12.5 A 21
20 A 24
9.5 A 20
4 A 18
20 A 24
15 A 22
22 A 25
20 A 24
9.5 A 20
rank school Obs.
4 B 18
9.5 B 20
2 B 17
15 B 22
6.5 B 19
17.5 B 23
12.5 B 21
1 B 16
4 B 18
9.5 B 20
Rank all observations in increasing order from smallest to largest. Assign the smallest observation the rank 1. If some observations have tied values, assign the rank that is the average of the ranks they would have been assigned if there were no ties.
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Mathematically solution1. H₀ : µ1=µ2 , H1 : µ1>µ22. W=(15+6.5+17.5+12.5+20+9.5+4+20+15+22+20+9.5)=171.5
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5.93)2/)13(12(5.1712
)11(1
nnWU
)1,0(......,82,1 NUZthennnu
u
602
)10(122
21
nnu
,23012
)23)(10(1212
)121(212
nnnn
u 17.15230 u
21.217.15
605.93
Z
Compute for the critical region. At a = 0.05, we reject H0 if z>z 0.05 (z>+1.65), from above 2.21 > 1.65 Thus, we reject the null hypothesis and conclude that the students in the school A are smarter than the students in the school B at the level 0.05
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Solution by SPSSAnalyze Nonparametric Tests 2 Independent Samples
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Output: p-value: (1-tailed) = 0.014a = 0.05,
0.014<0.05
we reject H0 Students of school A are smarter
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Non Parametric TestsTwo-Related Samples
The Wilcoxon test
Example : Two people decided correct the answer sheet of 20 students in statistics, were them degrees as follows:
A 68 75 79 87 80 69 7290 75 67 23 56 65 90 8851 68 57 48 45
B 63 75 72 85 83 69 6887 72 70 21 56 67 85 8453 66 52 48 43
Test the hypothesis that the person A gives the degrees different than the person B at the confidence interval 95%?
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Mathematically solution H0: µ1 = µ2 H1: µ1 > µ2
Use a = 0.05
Compute for the z – statistic. (T =(14+16+3.5+11.5+8.5+8.5+3.5+14+11.5+3.5+14+3.5) =112 ).
Compute for the critical region. At a = 0.05, we reject H0 if z>z 0.05 (z>+1.65).
Thus, we reject the null hypothesis and conclude that the person A gives the degrees larger than the person B.
275.234.19
68112
Tz
684
)17(164
)1(
nnT 374
24)33)(17(16
24)12)(1(2
nnnT
34.19374 T
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Solution by SPSSAnalyze Nonparametric Tests 2 Related Samples
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Output: The result: p-value= 0.010.01<0.05 we reject H0
the teacher A gives the degrees different than the teacher B.
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Summary
Non Parametric
Tests
1-SampleThe Binomial
Test
2-Independent Samples
The Man-Whitney test
2-Related Samples
The Wilcoxon test
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Non Parametric TestsK-Independent SamplesThe Kruskal-Wallis test
• Example : To study if the marks of statistics course are dependent on the specialization of students :
Are there difference between the marks of students in the three specializations at level of significance 0.05?
Development Education Computer
50 90 80 40 4031 42 85 95 9875 65 85 90 7577 40 85 95 90
70 65 70 80 75 40 35 55 70 6555 45 30 74 78
82 88
65 55 75 45 3035 65 80 90 65
60 62 68
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Solution by SPSS
H₀ : there is no difference between the mean of samples.
H1 : there is difference between the mean of samples.
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Analyze Nonparametric Tests k Independent Samples
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Define Range
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Exact..
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Output: P-value (0.124)>0.05
Don’t reject HₒThere is no difference between
the mean of samples.
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Non Parametric TestsK-Related SamplesThe Freidman test
Assume we have this data:
Examine if there is difference in the methods of treatmentat the confidence interval 99%?
T3 T2 T1 Num7 18 10 18 19 12 2
16 17 15 312 14 13 417 20 15 510 15 12 66 7 11 7
11 18 13 811 19 15 912 13 7 1018 13 12 115 8 10 12
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Solution by SPSS
H₀ : there is no difference between the methods of treatments.
H1 : there is difference between the methods of treatments.
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Solution by SPSSAnalyze Nonparametric Tests k Related Samples
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By default : the confidence interval is 99%
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Output:
p-value = 0.004a = 0.01,
0.004<0.01 we reject H0
there is difference between the methods of treatments
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Summary
Non Parametric
Tests
K-Independent Samples
Kruskal-Wallis test
k-Related Samples
The Freidman test
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التقرير االحصائيالكالم .. خير
قّل ماودّل ..
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كيف تكتبي تقريراً احصائياً ؟التقرير االحصائي البد ان يشمل •
العناصر التالية:- تمهCيد1- مقدمCة2- طرق التحليل3- النتائCج4- الخالصCة5- المراجع6- المالحCق7
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أفضCلC التقاCرير االحصCائية : Cب Cالتي تتسم Cهي
البساطةC والسهولةC في االجابةC عن جميع األسئلة قيد الدراسة.•وصف البيانات وطرق جمعها وتلخيصها إما برسوم بيانيةC أو •
جداول أو غيرهCا.جعل الهدف هو تزويد القارئ بمعلومات كافيةC عن البيانات.•وصف ومناقشة الشكل البياني أثناء التقرير.••.Cمراعاة المهارة اللغويةاالبتعاد عن التراكيب اللغوية المعقدة والحواشي غير •
الضرورية.البد من التعليق على كل جدول أو شكل بياني مرفق مع •
التقرير.
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اعلمي ان التقرير سوف يقوّم حسب الخصائص التالية :
النسق االحصائي :•مناسبة الطرق االحصائية المختارة في التحليل وصحة
تطبيقها.النسق العلمي :•
من حيث القيمة العلمية للبحث والنتائج التي توصلت لها.النسق اللغوي :•
من حيث الكتابة والمنطق والترتيب والوضوح.
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Statistical Humor
• What do you call a tea party with more than 30 people?
A Z party!!!
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) وما توفيقي إال بالله (المراجع :
مقدمة في الطرق االحصائية / د.جالل • الصياد و د.محمد حبيب
/ د.عز SPSS التحليل االحصائي باستخدام •حسن عبدالفتاح
كيف تكتب تقريراً احصائياً / د.عتيق أحمد •الغامدي