• Title/Summary/Keyword: ${\chi}^2$ Homogeneous Test

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Distribution of a Sum of Weighted Noncentral Chi-Square Variables

  • Heo, Sun-Yeong;Chang, Duk-Joon
    • Communications for Statistical Applications and Methods
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    • v.13 no.2
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    • pp.429-440
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    • 2006
  • In statistical computing, it is often for researchers to need the distribution of a weighted sum of noncentral chi-square variables. In this case, it is very limited to know its exact distribution. There are many works to contribute to this topic, e.g. Imhof (1961) and Solomon-Stephens (1977). Imhof's method gives good approximation to the true distribution, but it is not easy to apply even though we consider the development of computer technology Solomon-Stephens's three moment chi-square approximation is relatively easy and accurate to apply. However, they skipped many details, and their simulation is limited to a weighed sum of central chi-square random variables. This paper gives details on Solomon-Stephens's method. We also extend their simulation to the weighted sum of non-central chi-square distribution. We evaluated approximated powers for homogeneous test and compared them with the true powers. Solomon-Stephens's method shows very good approximation for the case.

Statistical Analysis of Changes in the Number of Account Items of Financial Statements for K-IFRS-applied Firms (K-IFRS 채택 기업의 재무제표 계정과목수의 변화에 대한 통계적 분석)

  • Choi, Sungwoon
    • Proceedings of the Safety Management and Science Conference
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    • 2013.11a
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    • pp.209-219
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    • 2013
  • The research is to evaluate the statistical difference between K-GAAP(Generally Accepted Account Principles) in 2008 year and K-IFRS(International Financial Reporting Standards) in 2012 year. H Motor Company, S Electronics and L Electronics are the three representative firms adopting K-GAAP and K-IFRS in Korea. The ${\chi}^2$ homogeneous test are used to identify the reduction of the number of account items of four financial statements such as Statement of Financial Position(SFP), Statement of Comprehensive Income(SCI), Statement of Cash Flow(SCF), and Statement of Change in Equity(SCE) between K-GAAP and K-IFRS.

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The Stochastic Hydrological Analysis for the Discharge of River Rhine at Lobith (For River Rhine at Lobith in the Netherlands) (라인강 유량의 추계학적 수문분석에 관한 연구 (네덜란드의 Lobith지점을 중심으로))

  • 최예환
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.23 no.4
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    • pp.46-52
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    • 1981
  • The aim at this study has the stochastic hydrological analysis for the annual mean discharge and monthly discharge which were observed at Lobith of River Rhine in the Netherlands from 1901 to 1972. After this study was analysed by computer IBM 370 and Hewlett Parkard 9800, the results were as follows; 1.When 72 data was divided into two groups of subsample data as 36 data, they do not have their properties to be non-homogeneous and inconsistent due to F-test and t-test. 2.The credit limits of the serial correlation coefficient was fluctuated $\pm$0. 231 which was shown in Fig. 3. at significant level 99% by Anderson's test. 3.The correlogram at short term was shown to be no short-term persistence as Fig. 3. 4.Since the correlogram at long term has displayed that Hurst's coefficient was 0.6144 between 0.6 and 0.7, it was to be no long-term persistence. 5.The stochastic model with annual discharge of this River Rhine was shown with $\chi$t=2195+483. 8 $\varepsilon$t as $\chi$t=$\mu$+oet and $\varepsilon$t=$_1$ø$\varepsilon$t-$_1$+ζt where t=1,2,3,..., ζt is an independent series with mean zero and variance (1-ø2), $\varepsilon$t is the dependent series, and 4' is the parameter of the model. 6.The serial correlation coefficient of monthly discharge was explained as $\chi$$_1$ = 0.34 . sin(6-$\pi$t+$\pi$) as Fig.4. and the River Rhine has no large fluctuation and smoothly changed during that time.

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Estimation of Design Rainfall by the Regional Frequency Analysis using Higher Probability Weighted Moments and GIS Techniques(I) (고차확률가중모멘트법에 의한 지역화빈도분석과 GIS기법에 의한 설계강우량 추정(I) -동질성의 지역구분 방법을 중심으로-)

  • 이순혁;박종화;류경식;지호근;전택기;신용희
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.43 no.4
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    • pp.57-68
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    • 2001
  • It is matter of common knowledge to give impetus to the water resources development to cope with increasing demand and supply for the water utilization project including agricultural living and industrial water owing to the economic and civilization development in recent years. Regional design rainfall is necessary or the design of the dam reservoir levee and drainage facilities for the development of various kinds of essential waters including agricultural water. For the estimation of the regional design rainfall classification of the climatologically an geographically homogeneous regions should be preceded preferentially This study was mainly conducted to derive the optimal regionalization of the precipitation data which can be classified by the climatologically and geographically homogeneous regions all over the regions except Cheju and Wulreung islands in Korea. A total of 65 rain gauges were used to regional analysis of precipitation. Annual maximum series for the consecutive durations of 1, 3, 6, 12, 24, 36, 48 and 72hr were used for various statistical analysis. Both K-means clustering and mean annual precipitation methods are used to identify homogeneous regions all over the regions. Nine and five homogeneous regions for the precipitation were classified by the K-means clustering and mean annual methods, respectively. Finally, Five homogeneous regions were established by the trial and error method with homogeneity test using statistics of $\chi$$^2$ distribution.

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The Effect on the Knowledge, Perception of Drinking Cultures, Drinking Problems of University Students by Cut Down Drinking Circle Activity (절주동아리 활동이 대학생의 음주에 대한 지식, 음주문화 인식도, 음주 문제에 미치는 효과)

  • Kim, Seung-Dae;Jeong, Myeong-Ae
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.9
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    • pp.4090-4097
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    • 2012
  • The purpose of this study was performed to evaluate the effect of the cut down drinking circle activity on knowledge, perception of drinking cultures and drinking problem to the university students. Study period was from April to November. The participants of this study included 95 university students, located in the adjoining region of K city. While one of the group, composed of 47 students was designated as an experimental group, and the other group, composed of 48 students, was compared as a control group. Data analysis was done using ${\chi}^2$-test, t-test, they were processed SPSS 17.0. For homogeneous, general character, knowledge of drinking, perception of drinking cultures, drinking problem were measured pretest. The result were homogeneous group. The findings in this research were as follows. Knowledge of cut down drinking circle activity was significant difference between the two groups. On the other hand, the effect on perception of drinking cultures and drinking problem were not significantly different. These findings in the study give us the necessity of the cut down drinking circle activity for university students. It is also meaningful for this program to apply university students to various programs of alcohol-related problems.

Analysis of Risk factors & Morphological Ultrasound Image for Gallbladder Polyp in Adults Living in Busan and Gyeongnam Provinces (부산·경남 지역 성인의 담낭용종 위험인자 및 초음파 영상의 형태학적 분석)

  • An, Hyeon;Hwang, Chul-Hwan;Ko, Sung-Jin;Kim, Chang-Soo
    • Journal of radiological science and technology
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    • v.39 no.3
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    • pp.353-359
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    • 2016
  • This study were to evaluate risk factors of GB polpy in Busan and Gyeongnam area. This study was performed with patients by abdominal ultrasonography among the patients who came to the P hospital from January to May 2016. Among them, risk factors were analyzed on 399 people at the same time when abdominal ultrasonography and hematological test. The statistical analysis of risk factors related to the GB ployp was performed by independent t-test and chi-square test. In consider of difference verification result for calculations odds ratio about independent variables, multiple logistic regression analysis to conduct verify adequacy by calculating forecasting model from variable. As a result, GB polyp risk factors have relevance to male, HBsAg positive, triglyceride. GB polyp risk factors confirmed to male, HBsAg positive, triglyceride were calculated forecasting model and forecasting probability value. Forecasting probability sensitivity 61.0%, specificity 76.8%, ROC area under curve 0.735 showed, it confirmed validity of forecasting model. When analyzing the GB polyps morphologically, among the GB polyp types observed from abdominal ultrasonography, the hyperechoic and homogeneous pattern with neck was the largest as shown from 27.5% and two GB polyps were shown most from 38%, sizes were shown most by maximum diameter, 5 to 10mm from 53%. As a disease accompany with GB polyp showed mild fatty liver(23%), diffuse hepatopathy(21%).

Effects of a supportive program on uncertainty, anxiety, and maternal-fetal attachment in women with high-risk pregnancy (고위험 임부를 위한 지지적 프로그램이 불확실성, 불안, 태아 애착에 미치는 효과)

  • Kim, Hyun Jin;Chun, Nami
    • Women's Health Nursing
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    • v.26 no.2
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    • pp.180-190
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    • 2020
  • Purpose: The purpose of this study was to identify the effects of a supportive program on uncertainty, anxiety, and maternal-fetal attachment in high-risk pregnant women. Methods: The participants were 59 high-risk pregnant women admitted to the maternal-fetal intensive care unit. The control group (n=30) received usual treatment and antenatal care, while the experimental group (n=29) received an additional supportive program. Uncertainty, anxiety, and maternal-fetal attachment were measured in both groups prior to the intervention and at 3 days and 10 days after the intervention (or at discharge). Data were analyzed with the t-test, chi-square test, repeated-measures analysis of covariance, and the Greenhouse-Geisser correction in SPSS version 23.0. Results: A supportive program including information provision, nutritional care, emotional care, and exercise care was developed from the literature. All variables except women's length of stay were found to be homogeneous the between experimental and control groups in the pre-test. Length of stay was calculated as a covariate for testing hypotheses. There was a significant difference in state anxiety over time between the two groups, while there were no differences in uncertainty or maternal-fetal attachment. Conclusion: This supportive program was identified as an effective nursing intervention on state anxiety in high-risk pregnant women during their stay in the maternal-fetal intensive care unit. It is suggested that nurses could apply this program to alleviate high-risk pregnant women's state anxiety, and that this program could be modified to be more effective on uncertainty and maternal-fetal attachment in high-risk pregnant women.

Anxiety-depression and Maternal Fetal Attachment Behaviors of Pregnant Women with Preterm Labor and Normal Pregnant Women (조기진통임부와 정상임부의 불안 우울과 태아애착행위)

  • Moon, Eun-Hye;Kim, Jae-Youn;Jeung, Min-Kyong;Son, Hyoe-Min;Oh, Jin-A
    • Korean Parent-Child Health Journal
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    • v.9 no.2
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    • pp.128-139
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    • 2006
  • The purpose of this study was to compare the differences of anxiety-depression and maternal fetal attachment between pregnant women with preterm labor and normal pregnant women. The number of subjects was 132 convenienced sample. The sample were 66 pregnant women with preterm labor admitted in clinics and 66 normal pregnant women visited OB outpatient department at 1 general hospital in Busan. The data were collected by a self-reported questionnaire from Aug. 1st to Oct, 31th. 2006 and were analyzed with t-test, ANOVA, chi-square test using SPSS/Win PC+ 12.0. The research results were as follows: 1. The general characteristics between normal and preterm pregnancy were homogeneous. 2. It was significantly differed according to anxiety-depression between two groups, but it was not significantly differed according to maternal fetal attachment. 3. There were negative correlations with anxiety-depression and maternal fetal attachment. In conclusion, the special program should be created for each pregnant women and ante-natal nursing service may assessed and consulted on anxiety-depression and maternal fetal attachment, and needed the development of professional and educational nursing intervention on anxiety-depression and maternal fatal attachment enhancement in prenatal health care.

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Quantification of Metabolic Alterations of Dorsolateral Pre-Frontal Cortex in Depression SD Rat by MR Spectroscopy

  • Hong, Sung-Tak;Choe, Bo-Young;Choi, Chi-Bong;Park, Cheong-Soo;Hong, Kwan-Soo
    • Journal of the Korean Magnetic Resonance Society
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    • v.10 no.2
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    • pp.126-140
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    • 2006
  • Purpose: Contrary to the human study, it has rarely investigated metabolic alterations in the dorsolateral prefrontal cortex (DLPFC) of depressed rats versus age and sex-matched controls using proton magnetic resonance spectroscopy (MRS). Thus, the purpose of this research was to verify the feasibility of metabolic differences between the normal rat and the depression model rat. Materials and Methods: A homogeneous group of 20 SD male rats was used for MRI and in vivo 1H MRS. To induce a depressed status in SD rats, we performed the forced swimming test (FST). Using image-guide, water suppressed in vivo 1H MRS with 4.7 T MRI/MRS system, NAA/Cr and Cho/Cr ratios were mainly measured between depressed rats and normal subjects. Results: In depressed rats, increased Cho/Cr ratio was measured versus control subjects. However, no significant group effect for NAA/Cr was observed between case-control pairs. Discussion and Conclusions: The present 1H MRS study shows significant brain metabolic alterations of dorsolateral prefrontal cortex with experimental depressed status of SD rat induced by FST compared to normal subjects. This result provides new evidence that in vivo 1 H MRS may be a useful modality for detecting localized functional neurochemical markers alterations in left DLPFC in SD rats.

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A Comparative Study regarding Health Condition and Work Stress of Nurses Working in Cancer Ward and General Ward (암병동간호사와 일반병동간호사의 건강상태와 직무스트레스 비교 연구)

  • Kim, Hyun-Sook
    • Asian Oncology Nursing
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    • v.1 no.2
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    • pp.191-203
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    • 2001
  • The health of a nurse is very important because her mental and physical health can influence toward nursing patients directly, Especially, Cancer patients are growing annually. Also, terminal cancer patients' nursing and dead place are increasingly using hospital and the period of nursing for cancer patients are increasing. Nursing for cancer patients are different with acute disease. Therefore, I analysed comparing nurses' health working in cancer and general ward so that nurses working at cancer ward could be developed as a professional nurse, and I wanted to establish the foundation of nursing administration and reasonable manpower management to supply good quality of nursing to patients. In my research, I selected 117 nurses working in cancer ward and 134 nurses working in general word to analyse the stress rate and nurse's health comparing nurses working in general ward and cancer ward. The survey was conducted of nurses working in cancer ward nurses in 2 university hospitals, nurses working in a cancer hospital, and general ward nurses working in 3 public hospital. Also, the data was collected from Sep. 13, 2001 to Sep. 28, 2001. As health measuring tool, I used Cornell Medical Index(CMI) which are developed to fit Koreans by Ko Ungrin and Park Hang-bas (1980) using Cornell Medical Services which were designed by Weiser, Brosman, Mittelman, Wechler, Wolff in Cornell University(1945). As working stress measuring tool, I used Questionaries which were designed by Kim Mae-ja and Ku Mi-ok(1984) and then developed by Bae In-sook(1996). For managing the data, I used frequency, percentage, ${\chi}^2$ verification, t-test, and F-test (ANOVA). And in the case of significant data(p<.05). I did Duncan's test for post verification. The mutual relation between health condition and working stress rate have been conducted using Pearson's Correlation Coefficient. Followings are the results of my research. 1. Two groups showed significant differency at age after testing homogeneous character between two groups (${\chi}^2$ =9.919, p=.007). 2. Comparing two group's health condition, cancer ward(average 19.35${\pm}$18.34) were higher than general ward(14.42${\pm}$10.59) and showed statistical significant differency(p=.009). And, comparing two group's mental condition, cancer ward(9.00${\pm}$9.79) were higher than general ward(7.13${\pm}$6.35) and statistically no differency. 3. After comparing two group's working stress rate, the rate of cancer ward nurse's working stress(3.36${\pm}$.50) is higher than general ward nurse (3.32${\pm}$.48). There are no significant differency. However, in the detailed verification test, there were significant differency at inappropriate compensation (t=3.254, p=.001) and medication issue (t=2.170, p=.031). 4. After comparing health condition at general points, physical health condition showed significant differency at age(p=.020), the number of children (p=.015), religion (p=.015), position(p=.005), career(p=.008), working satisfaction(p=.003), activity after office hour(p=.045); and mental health condition showed significant differency at position(p=.010), career (p=.017), working satisfaction (p=.003). 5. After comparing the working stress rate according to general points, there were significant differency at working satisfaction (F=5.285, p=.006), predicted nursing(F=3.822, p=.023). 6. At the relation of health condition and working stress rate between two groups. physical and mental condition showed significant relation with working stress rate. i.e, if a nurse's health condition is not good, she are feeling much more stress than others. After considering all the factors in my research, I found that the health condition and stress rate of cancer ward nurses is much higher than general ward nurses. Considering that cancer ward nurses is necessary to care for increasing cancer patients with mental and physical nursing, the less stress for cancer ward nurses is very important to develop nursing quality and working efficiency by keeping good health condition, specializing cancer ward nurses. Therefore, we need following studies to find the factors which are effecting to cancer ward nurses' health and specialization. Also, we need to improve managing working condition to decrease working stress by improving working condition.

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