The main purpose of this study is to develop a perceived stress scale based on Classical Test Theory (CTT) and Graded Response Model (GRM); to compare the parameters of the items in the scale that are tried to be developed according to both models, and to determine under which theory the measurement tool produces more reliable and valid results according to these compared item parameters. The item discrimination parameter value calculated according to CTT ranges from 0.472 to 0.735. On the other hand, item discrimination parameter values calculated under GRM vary between 1.062 (Item 15) and 2.606 (Item 2). Correlations between item thresholds were tested and the calculated correlation coefficients were; r =0.840 for β1 (p<0.01), r = 0.947 for β2 (p<0.01), r = 0.713 for β3 (p<0.05), and r = 0.559 for β4 (p<0.05) respectively. It can be assumed that these values not only support the item invariance of the items in the scale, but also show that the GRM is suitable for the data used for the scaling of the items. The reliability coefficient of the scale, in terms of internal consistency, was calculated as 0.919 according to the CTT, while the marginal reliability coefficient calculated as 0.931 according to GRM. Both reliability coefficients are quite high. In conclusion, there is a high correlation between the item parameters calculated according to both approaches, and the perceived stress scale (PSS) that is being developed can measure the desired features.

中文翻译：

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基于经典测试理论和分级响应模型的“感知压力量表”的开发

这项研究的主要目的是建立基于经典测试理论（CTT）和分级响应模型（GRM）的感知压力量表；以便比较试图根据两个模型开发的量表中各个项目的参数，并根据这些比较后的项目参数确定测量工具在哪种理论下产生更可靠和有效的结果。根据CTT计算的项目判别参数值的范围是0.472至0.735。另一方面，根据GRM计算的项目判别参数值在1.062（项目15）和2.606（项目2）之间变化。测试了项目阈值之间的相关性，计算出的相关系数为：β1的r = 0.840（p <0.01），β2的r = 0.947（p <0.01），β3的r = 0.713（p <0.05），β4的r = 0.559（p <0.05）。可以假定这些值不仅支持标度中项目的项目不变性，而且表明GRM适合用于项目标度的数据。根据内部一致性，量表的可靠性系数根据CTT计算为0.919，而边缘可靠性系数根据GRM计算为0.931。两个可靠性系数都很高。总之，根据这两种方法计算出的项目参数之间具有高度相关性，并且正在开发的感知压力标度（PSS）可以测量所需的特征。就内部一致性而言，根据CTT计算为0.919，而根据GRM计算的边际可靠性系数为0.931。两个可靠性系数都很高。总之，根据这两种方法计算出的项目参数之间具有高度相关性，并且正在开发的感知压力标度（PSS）可以测量所需的特征。就内部一致性而言，根据CTT计算为0.919，而根据GRM计算的边际可靠性系数为0.931。两个可靠性系数都很高。总之，根据这两种方法计算出的项目参数之间具有高度相关性，并且正在开发的感知压力标度（PSS）可以测量所需的特征。